Question

2. In the given figure, find-
(a) ZYRO
(b) ZPRO
One of the exterior angle of a AABC measures 150°. If one
of the interior opposite angle is 75º. Find the other interior
opposite angle. What type of triangle is this?
4. One of the exterior angles of triangle is 100°. The interior opp
each other. Find the measure of these equal interior opposite :
5. In a triangle one of the exterior angle is 105º. One of the interi
find the measure of all the angles of the triangle.​

Answer 1

Exterior angle=sum of two interior opposite angles.

Measure of exterior angle=150°

One of the interior opposite angle=75°

So another interior opposite angle=150°-75°=75°

As two sides of this triangle are equal, it is an isosceles triangle.

4. Exterior angle=100°

The two interior opposite angles are equal.

So, measure of the two interior opposite angles=100°-2=50°