If ∠ABC and ∠FDR are complementary angles and ∠ABC measures 2x – 28 while ∠FDR measures x + 43, what is ∠FDR
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If ∠ABC and ∠FDR are complementary angles and ∠ABC measures 2x – 28 while ∠FDR measures x + 43, what is ∠FDR
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Answer:
∠FDR = 68°
Step-by-step explanation:
Complementary Angles - two angles whose sum is 90°
∠ABC + ∠FDR = 90
(2x - 28) + (x + 43) = 90
(2x + x) + (-28 + 43) = 90
3x + 15 = 90
3x = 90 - 15
3x = 75
3x ÷ 3 = 75 ÷ 3
x = 25
∠FDR = x + 43
∠FDR = 25 + 43
∠FDR = 68°