MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Classification of Triangles Based on Angles

∠ TRM is an e...

Question

∠TRM is an exterior angle of ∆NTR. m∠N = 30° and m∠T = 80°. Find ∠TRM.

Open in App

Solution

It is given that m∠N = 30° and m∠T = 80°.

∠TRM is an exterior angle of ∆NTR.
Using the exterior angle property,
m∠TRM = m∠N + m∠T
= 30° + 80°
= 110°
Thus, ∠TRM = 110°.

Suggest Corrections

thumbs-up

0

Similar questions

∠

ACD is an exterior angle of

Δ

∠ B = 40^{o}

∠ A = 70^{o}

. Find the measure of

∠

The two interior opposite angles of an exterior angle of a triangle are 60 degree and 80 degree. Find the measure of the exterior angle.

Q. Name the types of following triangles :

△ L M N

m ∠ L = 30^{\circ}, m ∠ M = 70^{\circ}

m ∠ N = 80^{\circ}

Q. Answer the questions with reference to the adjoining figure.

(1) Which triangles include points M and N?

(2) Which triangles have point E on their exterior?

(3) Which triangles have seg PS as a common side?

(4) Name the triangles in which ∠PTR is an exterior angle.

(5) Which triangles include points E, M and N?

(6) Of which triangles does ∠PSQ from an exterior angle?

(7) Which points in the figure are in the exterior of all triangles?

(8) Which points are outside ∆PQS but inside ∆PTR?

(9) Identify and name the exterior angles of ∆PST.

(10) List the triangles of which ∠PQS is an angle.

(11) Of which triangles is R a vertex?

(12) Which points lie outside ∆PST?

Q. The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is

6^{\circ}

. Find the value of n.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Classification of Triangles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Classification of Triangles Based on Angles

Standard VI Mathematics

Join BYJU'S Learning Program

CrossIcon