Question

find the value of a, b and c​

Answer 1

$\huge \fbox \red{Answer}$

∠b = ∠PRS = 45° (alternate angles)

∠c = ∠QRT = 35° (alternate angles)

∠PRS + ∠PRQ + ∠QRT = 180° (linear pair)

45° + ∠PRQ + 35° = 180°

80° + ∠PRQ = 180°

∠PRQ = 180° - 80°

∠PRQ = 100°

∠PRQ = ∠a = 100°

Answer 2

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in the given figure:

⇝ ST || PQ

⇝ Want to find a, b, and c.

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step by step explanation:

step 1 to find A :

➟ (Where angle SRT is 180°)

➟ 45 + 35 + a = 180°

➟ 80 + a = 180°

➟ a = 180 - 80

➟ a = 100°

step 2 find b and c:

➥ due to ST || PQ (alternative angle)

➥ b = ∠SRP = 45°

➥ c = ∠TRQ = 35°

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checking were its correct:

➤ sum of triangle is 180° so,

➤ a + b + c = 180°

➤ 100 + 45 + 35 = 180°

➤ 145 + 35 = 180°

➤ 180 = 180°

➤ Thus, LHS = RHS

➤ so, the answer is verified !!!

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final answer:

• a = 100°

• b = 45°

• c = 35°

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