Question

Incorrect

Question 6
VNIA.
The figure is a trapezoid. Solve for the measure of angle Hand the measure of angle K.
1
439
H
a
104°
K
76
measure of angle H =
measure of angle K = 137

Answer 1

Sum of two adjacent angles in trapezium equals 180°

`\\ \tt\hookrightarrow <H+43=180`

`\\ \tt\hookrightarrow <H=180-43`

`\\ \tt\hookrightarrow <H=137`

And

`\\ \tt\hookrightarrow <K+104=180`

`\\ \tt\hookrightarrow <K=180-104`

`\\ \tt\hookrightarrow <K=76°`

Answer 2

∠H = 137°

∠K = 76°

Explanation:

The sum of the interior angles of a trapezoid = 360°

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180°

The legs are the non-parallel sides: JK and HI

Therefore, 104 + ∠K = 180

⇒ ∠K = 180 - 104 = 76°

And, ∠H + 43 = 180

⇒ ∠H = 180 - 43 = 137°