Answer:
x = 72 , x = 32
Explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
154° is an exterior angle of the triangle , then
x + x + 10 = 154 ( simplify left side )
2x + 10 = 154 ( subtract 10 from both sides )
2x = 144 ( divide both sides by 2 )
x = 72
-----------------------------
The angle vertically opposite to x + 25 is congruent (equal) to x + 25 , then
3x + 27 and x + 25 are same- side interior angles and sum to 180°
sum the 2 angles, equate to 180 and solve for x
3x + 27 + x + 25 = 180 ( simplify left side )
4x + 52 = 180 ( subtract 52 from both sides )
4x = 128 ( divide both sides by 4 )
x = 32