Types of Angles Based on Measurement

Q.

If $△PQR$ and $△XYZ$ are congruent under the correspondence $QPR\leftrightarrow XYZ$, then (i) $\angle R=$ (ii) $QR=$ (iii) $\angle P=$ (iv) $QP=$ (v) $\angle Q=$ (vi) $RP=$

Q.

Which of the following statements is not true about the figure given below; DC is a line?

1. ∠DBC = 180^o

2. ∠CBA = 90^o

3. ∠CBA and ∠DBA are supplementary.

4. ∠ABD = 60^o

Q. In the given figure, if AC and BD bisects each other at O, and BC = AD, then ∆AOD is congruent to ∆COB by ____ criterion.

1. RHS

2. AAS

3. SSS

4. SSA

Q. $\text{If x = y and y = 8, then find the value of}2x+\frac{x}{2}\text{using Euclid's axioms.}$

1. 20

Q.

Tell whether the angles are complementary, supplementary or neither.

Q. Match the following.

1. 80°, 10°
2. 90°
3. Angles$<$ 90°
4. 120°, 60°

Q.

Which of the following statements is true about the figure given below?

Given : $\angle$ ABD = 110${}^{\circ }$

1. $\angle$DBC = 180${}^{\circ }$

2. $\angle$DBC = 80${}^{\circ }$

3. $\angle$CBA and $\angle$DBA are supplementary.

4. $\angle$DBC = 70${}^{\circ }$

Q.

It is known that if $x+y=10$, then $x+y+z=10+z$. The Euclids axiom that illustrates this statement is:

1. first axiom

2. second axiom

3. third axiom

4. fourth axiom

Q.

Check the given angles are complementary angles or supplementary angles:

$159°,21°$.

Q.

Check the given angles are complementary angles or supplementary angles:

$53°,127°$.

Q.

Check the given angles are complementary angles or supplementary angles:

$0°,180°$.

Q.

Two lines AB and CD intersect at O. If $\angle AOC+\angle COB+\angle BOD=270°$, find the measures of $\angle AOC,\angle COB,\angle BOD$ and $\angle DOA.$

Q.

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z ?

(a) first
(b) second
(c) third
(d) four (2 marks)

Q.

An angle whose measure is less than 90 degrees is called a/an

1. Obtuse Angle

2. Acute Angle

3. Right Angle

4. Straight Angle

Q. Choose the correct angles.

1. Acute angle
2. 90°
3. Reflex angle
4. Straight angle
5. 45°
6. 149°
7. Obtuse angle
8. 270°
9. 180°
10. Right angle

Q. Find the angle whose supplement is four times its complement.

1. 20°
2. 60°
3. 60°
4. 120°

Q.

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z ? (3 mark)

(a) first
(b) second
(c) third
(d) fourth