The angle measuring xx and the 127° forms a straight angle so they are supplementary:
x+127=180

Subtract 127 from both sides: x=53

Subtract 127 from both sides: x=53

Question

asked 2020-10-21

A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram, If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?

(1) 68.6

(2) 80.9

(3) 109.8

(4) 244.4

(1) 68.6

(2) 80.9

(3) 109.8

(4) 244.4

asked 2020-12-06

if \(\displaystyle\angle{c}=\angle{b}{\quad\text{and}\quad}\angle{a}={4}\angle{b}\), find the value of each angle.

asked 2020-11-06

In \(\displaystyle△{P}{Q}{R},{m}∠{P}={46}{x}\) and \(\displaystyle{m}∠{R}={7}{x}\),

a. Write and solve an equation to find the measure of each angle.

b. Classify the triangle based on its angles.

a. Write and solve an equation to find the measure of each angle.

b. Classify the triangle based on its angles.

asked 2020-11-30

The measure of the complement of an angle is three times the measure of the angle. What is the measure of each angle?