Question

In figure, PQ||RS, BA perpendicular PQ and angle PAC=137°. Find angles ACS, BAC and ACB.​

Answer 1

Answer:

ACB=43° AND BAC+47

Step-by-step explanation:

1. STEP 1:- FIND ∠ACB

• ∠PAC=∠ACS ( ALTERNATE INTERIOR ANGLES ARE EQUAL)
• ∠ACB+∠ACS=180° (LINEAR PAIR)
• ∠ACB=180-137

• ∠ACB=43°

STEP2:- FIND∠BAC

ACB IS A TRIANGLE

∠BCA+∠CBA+∠BAC=180° (ANGLE SUM PROPERTY)

∠BAC+90°+43°=180°

∠BAC=180-133

∠BAC=47°

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