contestada

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

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 class=

Respuesta :

semsee45

Answer:

∠H = 137°

∠K = 76°

Step-by-step 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°

Sum of two adjacent angles in trapezium equals 180°

[tex]\\ \tt\hookrightarrow <H+43=180[/tex]

[tex]\\ \tt\hookrightarrow <H=180-43[/tex]

[tex]\\ \tt\hookrightarrow <H=137[/tex]

And

[tex]\\ \tt\hookrightarrow <K+104=180[/tex]

[tex]\\ \tt\hookrightarrow <K=180-104[/tex]

[tex]\\ \tt\hookrightarrow <K=76°[/tex]