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61. Name the pair of adjacent acute angles.

a. ZCFB, LBFA
b. ZDFC, ZCFA
c. ZDFB, ZBFE
d. ZDFE, ZBFA

61. Name the pair of adjacent acute angles. a. ZCFB, LBFA b. ZDFC, ZCFA c. ZDFB, ZBFE-example-1
User Gosha
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1 Answer

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Answer:

a) ∠CFB, ∠BFA

Explanation:

Acute angles are angles < 90°

AD is a straight line

⇒ ∠CFD + ∠CFB + ∠BFA = 180

⇒ 90 + ∠CFB + 50 = 180

⇒ 140 + ∠CFB = 180

⇒ ∠CFB = 180 - 140

⇒ ∠CFB = 40

∠CFB and ∠BFA are adjacent angles

∠CFB = 40

∠BFA = 50

Both are less than 90°

∴ ∠CFB and ∠BFA are adjacent acute angles

User TheQueenIsDead
by
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