<h3>
Answer: x = 12</h3>
Explanation:
The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.
6x+7 = 8x-17
6x-8x = -17-7
-2x = -24
x = -24/(-2)
x = 12
The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Answer:

Step-by-step explanation:
Suppose we have a triangle WXY whose internal angles are:



The sum of the measures of the angles must be 180°, thus:

Simplifying:
15x + 15 = 180
Subtracting 15:
15x = 165
Dividing by 15:
x = 11
Thus, the measure of angle Y is


The area of the triangle below is 7.5 units