Question

directions: determine the value of the missing angle. show your work:)
1.
angle ghj and angle jhk are supplementary. the measure of angle ghj is 122°.
the measure of angle jhk is ______°.
2.
angle wxy and angle yxz are complementary. the measure of angle yxz is 27°.
the measure of angle wxy is ______°.

Explanation:

Step1: Define supplementary angles

Supplementary angles sum to $180^\circ$.

Step2: Calculate $\angle JHK$

$\angle JHK = 180^\circ - 122^\circ = 58^\circ$

Step3: Define complementary angles

Complementary angles sum to $90^\circ$.

Step4: Calculate $\angle WXY$

$\angle WXY = 90^\circ - 27^\circ = 63^\circ$

Answer:

1. $58$
2. $63$