Question

a.find x<br />b.find angle prs and angle prs<br />c.find x<br />d.find angle prq
pls answer step by step​

Answer 1

In ΔABC,

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

= 70∘ + 40∘

= 110∘

Hence, the measure of ∠ACD is 110∘.

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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∘.