Question

If trap is an isosceles trapezoid, what is the value of x ? angle t = 4x 12

a) 6
b) 18
c) 3
d) 15

Answer 1

The value of x in the isosceles trapezoid is 21 degrees.

Step-by-step explanation:

To find the value of x in the isosceles trapezoid, we need to determine the measure of angle t. Since the trapezoid is isosceles, the base angles are congruent. The sum of the base angles in an isosceles trapezoid is 180 degrees. So, we have:

1. angle t + angle t + angle 12 = 180 degrees (sum of base angles)
2. 2(4x) + 12 = 180 degrees
3. 8x + 12 = 180 degrees
4. 8x = 168 degrees
5. x = 21 degrees

Therefore, the value of x in the isosceles trapezoid is 21 degrees.