Answer:
..........................
Answer:
Step-by-step explanation:
The side opposite the 30 degree angle is always half of the hypotenuse in the 30,60,90 triangle so
h=2(6)
h=12
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
===========================================================
Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
SQUARES BECAUSE THEY ARE IN THE MIDDLE DUMMY
