Answer:
x°= 55°
Step-by-step explanation:
First, find the degrees of the larger triangle.
Since every triangle equals 180° degrees, make an equation.
60°+90°+a°= 180°
Now, add the degrees together.
120°+a°= 180°
Then subtract from both sides.
120°+a°= 180°
-120 ° -120°
a°= 60°
Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).
60°-25°= 35°
Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.
35°+90°+x°= 180°
Then, add the degrees.
125°+x°= 180°
Subtract from both sides of the equation to get the answer for the variable.
125°+x°= 180°
-125° -125°
x°= 55°
