Question

Determine the value of x in the isosceles trapezoid.

Question 17 options:

A)x = 65°


B)x = 180°


D)x = 90°


C)x = 60°

Answer 1

Sum of two consecutive angles =180°

Now

• x+2x=180°
• 3x=180°
• x=60°

Option C

Answer 2

C) x = 60°

Explanation:

In an isosceles trapezoid:

• Base angles are congruent.
• Opposite angles are supplementary (sum to 180°).

Therefore, to determine the value of x in the given isosceles trapezoid, set the sum of opposite base angles to 180° and solve for x:

`\begin{aligned}2x + x &= 180^(\circ)\\\\3x&=180^(\circ)\\\\(3x)/(3)&=(180^(\circ))/(3)\\\\x&=60^(\circ)\end{aligned}`

Therefore, the value of x is 60°.