Question

An exterior Angle of a triangle of measure 110° and opposite interior angles are equal in measure . Find the measure of all angles of triangle . Also , write the name of triangle ( acute or obtuse or right triangle ) .​

Answer 1

Answer:

∠A = 55°

∠B = 55°

∠ACB = 70°

Step-by-step explanation: (Refer diagram)

Given : ∠ACD= 110°

            ∠A = ∠B

∠ACD +  ∠ACB = 180° (Linear pair)

110° +  ∠ACB = 180°

∠ACB = 180-110

∠ACB = 70°

Now in ΔABC,

∠A +  ∠B +  ∠ACB = 180° (Angle sum property )

∠A +  ∠A + 70° = 180°

2∠A = 110°

∠A = 55°

∠B = 55°

Name of Δ ⇒ isosceles (2 angles equal)

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Answer 2

Answer:

cvq-

mkui-

qia

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