Street m is parallel to street n. What is the measure of $∠ a$ ?

{112.5}^{\circ}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

{67.5}^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

{102.5}^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

{77.5}^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A ${112.5}^{\circ}$
$∠ a = 180^{\circ} - {67.5}^{\circ} = {112.5}^{\circ}$
(Corresponding angle and linear pair)

Suggest Corrections

Similar questions

Q. Read the following information carefully and answer the questions given below.
All the streets of a city are either perpendicular or parallel to one another. The streets are all straight, streets N, O, P, Q and R are parallel to one another. Streets S, T, U, V, W, X and Y are horizontally parallel to one another.
(i) Street N is 1 km east of Street O.
(ii) Street O is 1/2 km west of Street P.
(iii) Street Q is 1 km west of Street R.
(iv) Street S is 1/2 km south of Street T.
(v) Street U is 1 km north of Street V.
(vi) Street W is 1/2 km north of Street X.
(vii) Street W is 1 km south of Street Y.
If W is parallel to U and W is 1/2 km south of V and 1 km north of T, then which two streets would be 1 & 1/2 km apart?

Q. A ladder

20

m long is placed in a street, so as to reach a window

16

m high and on turning the ladder to the other side of the street it reaches a point

12

m high. What is the width of street?

Q. Walls of two building on either side of a street are parallel to each other. A ladder

5.8

m long is placed on the street such that its top just reaches the window of a building at the height of

4

m. On turning the ladder over to the other side of the street, its top touches the window of the other building at a height

4.2

m find the width of the street.

Question 2 (ii)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (3, 4)?

Question 2 (i)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (4, 3)?

Join BYJU'S Learning Program

Street m is parallel to street n. What is the measure of ∠a ?

The correct option is A 112.5∘∠a=180∘−67.5∘=112.5∘(Corresponding angle and linear pair)

Street m is parallel to street n. What is the measure of $∠ a$ ?

The correct option is A ${112.5}^{\circ}$
$∠ a = 180^{\circ} - {67.5}^{\circ} = {112.5}^{\circ}$
(Corresponding angle and linear pair)