One of the angles is 26°. The second angle is complementary to the first angle. What is the measure of the third angle?
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Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
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tan48° = =
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = ≈ 16.2 ( to the nearest tenth )
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sin48° = =
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = ≈ 24.2 ( to the nearest tenth )