Question

05.02)In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.

Write and solve an equation to determine the measure of angle x.

Answer 1

Considering the situation described, the measure of angle x is of 60º.

What is the measure of angle x?

Researching this problem on the internet, we have that a 180º ray is bisected into two parts, each of 90º.

• The first part has angles of 70º and y.

• The second part has angles of 60º and x.

Due to the bisection, angles 60º and x are complementary, that is, they add up to 90º, hence:

60º + x = 90º

x = 30º.

The measure of angle x is of 60º.

More can be learned about measures of angles at brainly.com/question/25716982

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