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BaLLatris [955]
3 years ago
11

∠E and ∠F are supplementary. If m∠E = (9x – 38)° and m∠F = (2x + 42)°, find m∠F. *

Mathematics
1 answer:
podryga [215]3 years ago
7 0

answer:

<em>∠F = 74°</em>

explanation:

<u>( Find the value of x  )</u>

<u></u>

<em>∠</em> E + <em>∠</em> F = 180°

9x - 38 + 2x + 42 = 180

11x + 4 = 180

11x = 176

x = 16

<u>( Find </u><u><em>∠</em></u><u> F using x )</u>

<em />

<em>∠ </em>F = 2x + 42

x = 16

<em>∠</em> F = 2(16) + 42

<em>∠ </em>F = 32 + 42

<em />

<em>∠F = 74°</em>

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