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
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
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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