Question

Find the measure of the missing angles.
X =
y =
y
40°

Answer 1

Y is 90° and I think x is 50°

Answer 2

The measures are;

y = 140 degrees

x = 50 degrees

To determine the measure of the angles, we have to know that;

• Complementary angles sum up to 90 degrees
• Supplementary angles sum up to 180 degrees
• Angles on a straight line is 18- degrees
• Angle at right angle is 90 degrees

Then, we can deduce from the diagram that;

z + 40 + 90 = 180

collect like terms

z = 180 - 130

z = 50 degrees

Then, y = 50 + 90 = 140 degrees

x = 50 degrees, vertically opposite angles