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posledela
3 years ago
12

Find the measures of angles 1, 2, and 3

Mathematics
1 answer:
saul85 [17]3 years ago
5 0
<h3>Given :-</h3>

x = 33°

Then :-

<em>m</em>∠1 = 33° ( angle x and angle 1 are corresponding angles on a transversal )

<h3>Which means :-</h3>

<em>m</em>∠1 + <em>m</em>∠2 = 90° ( angle 1 and angle 2 are complementary angles )

33 + ∠2 = 90

∠2 = 90 - 33

<em>m</em><em>∠</em>2 = 57°

<h3>Then :-</h3>

<em>m</em><em>∠</em>1 + <em>m</em>∠3 = 180° ( angle 1 and angle 3 are a linear pair )

33 + ∠3 = 180°

∠3 = 180 - 32

<em>m</em><em>∠</em>3 = 147°

<h2>Therefore , </h2><h3>m∠1 = 33°</h3><h3>m∠2 = 57° </h3><h3>m∠3 = 147°</h3><h3 />
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