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Usimov [2.4K]
4 years ago
6

Find the measure of each angel

Mathematics
1 answer:
mr_godi [17]4 years ago
4 0
<h3>1.</h3>

We will write and solve an equation that expresses the given relation. Let x represent the angle measure. Its complement is (90-x).

... x =(1/4)(90 -x)

Subtract x and simplify

... 0 = (90/4) - (5/4)x

Divide by the coefficient of x, which is -5/4.

... 0 = -18 +x

Add the opposite of the constant.

... 18 = x

The angle is 18°.

<h3>2.</h3>

The attachment shows the intersction of road AB with road CD.

<em>Supplementary angles:</em> ∠CXA and ∠CXB; ∠BXC and ∠BXD; ∠DXA and ∠DXB; ∠AXC and ∠AXD.

<em>Complementary angles:</em> none

<em>Vertical angles:</em> ∠AXC and ∠BXD; ∠BXC and ∠AXD.

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