English, asked by ananyajain2901, 4 months ago

12. ABCD is a parallelogram. If angle
A = ( 3 X - 20 ) degrees and angle c = (
x + 40 ) degrees , then the value of x is​

Answers

Answered by themraj19684
5

Answer:

A=(3x−20)

∠C=(x+40)

In a parallelogram opposite angles are equals

3 x - 20 = x + 40

3 x - x = 40 + 20

2 x = 60

x= 30 degrees

Answered by TheBestWriter
2

In ΔABC,

∠ACD = ∠A + ∠B (Exterior angle property)

= 70∘ + 40∘

= 110∘

Hence, the measure of ∠ACD is 110∘.

Question 2:

In ΔPQR, ∠P = 70°, ∠Q = 65 ° then find ∠R.

ANSWER:

In ΔPQR,

∠P + ∠Q + ∠R = 180∘ (Angle sum property)

⇒ 70∘ + 65∘ + ∠R = 180∘

⇒ 135∘ + ∠R = 180∘

⇒ ∠R = 180∘ − 135∘

= 45∘

Hence, the measure of ∠R is 45∘.

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