Answer:
The two angles are 57° and 33°.
Explanation:
The three angles of a triangle add up to 180°. The angle at the top of this triangle has a little tiny square in it to show that its a right angle. So it is 90°
That means that the other two angles have to add up to 90° We can use this to write an equation.
(4x-7)° + (3x-15)° = 90°
Combine like terms.
7x - 22 = 90
add 22
7x = 112
divide by 7
x = 16
Then the question says to find the angle measures. Put the x = 16 back into the given expressions.
4x - 7
= 4(16) - 7
= 64 - 7
= 57
and
3x - 15
= 3(16) - 15
= 48 - 15
= 33
The two angles are 57° and 33°.