Question

Can someone please find x?

Answer 1

x = 78°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle on the right , then

x + 32°= 110° ( subtract 32° from both sides )

x = 78°

Answer 2

measure of sum interior angle = (n-2)180 where n is the no. of sides

=(3-2)180

=180°

The first triangle :

110+45+y = 180

155+y = 180

y = 180-155

y = 25°

The whole triangle :

45+57+x = 180

102+x = 180

x = 180-102

x = 78°