Question

3. One of the exterior angle of a ABC measures 150". If one
of the interior opposite angle is 75°. Find the other interior opposite angle. what type of triangle is this? ​

Answer 1

Answer:

75 degree , Isoscles triangle

Step-by-step explanation:

Sol :

Given : One of the exterior angle of triangle ABC is 150 degree. One of the interior angle measures 75degree

Sum of two interior angles of a triangle = an exterior angle

Let the other interior be x ( according to exterior angle property)

A/q

(75 + x)degree = 150 degree

x = 150 - 75 degree

= 75 degree

Therefore other interior angle = 75degree

Hence two angles of triangle ABC are equal

So the triangle is an isosceles triangle