Angle x and angle y are complementary. Angle x is supplementary to a 128 degree angle. What are the measures of angle x and angl

Question

2 years ago

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e y?

1 answer:

alexdok [17] · Answer 1 · 2022-04-29T17:44:03+03:00

The measurement of angle x is 52° and y is 38°

Step-by-step explanation:

Let us define supplementary and complementary angles first.

Supplementary angles is pair of angles whose sum is 180°

While complementary angles sum up to 90°

Given

That x and y are complementary and x is supplementary to 128.

This means that sum of x and 128 is 180°

So,

$x+128 = 180\\x = 180-128\\x = 52$

So,

x = 52°

It is also given that x and y are complementary which means that

$x+y = 90\\52+y = 90\\y = 90-52\\y = 38$

Hence,

The measurement of angle x is 52° and y is 38°

Keywords: Supplementary angles, complementary angles

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