Question

In a parallelogram ABCD angle A=5 times angle B , then the measures of the angles C and D will be

Answer 1

Answer:

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Answer 2

Answer:

In parallelogram ABCD, ∠A = 150⁰ ; ∠B = 30⁰ ; ∠C = 150⁰ ; ∠D = 30⁰ .

Step-by-step explanation:

Given that :

• ABCD is a parallelogram.
• ∠A = 5 ∠B

Solution :

• We know that, ∠A and ∠B are adjacent angles of the parallelogram.
• ∠A + ∠B = 180⁰ --- (1)
• Since, ∠A = 5 ∠B (given)
• Putting this value in equation (1), we get ;
• 5 ∠B + ∠B = 180⁰
• 6 ∠B = 180⁰
• ∠B = 30⁰
• Since, ∠A = 5∠B. ∠A = 5 x 30⁰ = 150⁰ .
• Since, ABCD is a parallelogram. ∠A = ∠C and ∠B = ∠D .
• Hence, ∠A = 150⁰ ; ∠B = 30⁰ ; ∠C = 150⁰ ; ∠D = 30⁰ .