Question

An exterior angle of a triangle is 105o and its two interior opposite angles are equal.
Each of these equal angles is
a) 37.5o b)52.5o c) 72.5o d)75o

Answer 1

180-105=75

Step-by-step explanation:

75 is the answer

Answer 2

$\huge\underline\bold\red{Answer}$

Given :-

• An exterior angle of a triangle is 105°

• It's two interior angles are equal.

To Find :-

• Each of the equal angles.

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Let that equal angles be 'x'

Then,

x + x = 105 [ sum of the two opposite interior angles of traingle is equal to the exterior angle]

=> 2x = 105

=> x = 105/2

=> x = 52.5

Hence, the equal interior opposite angles of the triangle are 52.5.

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