Question

In Figure measure of ∠ABC is

(a) 60°
(b) 70°
(c) 80°
(d) 50°

Answer 1

Answer:

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Step-by-step explanation:

∠C = 70° ( supplementary angles )

∠B = 40° + 70° + ∠B = 180° (Angle sum property)

∠B = 180° - 110°

∠B = 70°

Answer 2

The correct option is (b) 70°.

We know that,

∠B = 40° + 70° + ∠B

= 180°

(Angle sum property)

∠C = 70°

( supplementary angles )

so,

∠B = 180° - 110°

∠B = 70°

So, in the triangle  ∠ABC, 180° is the angle sum property.

Hence,  ∠ABC is  70°.