Question

Ab angle is 30 degree than two two times uts supplementary angle. Find the angle and its supplementary angle

Answer 1

Answer:

∠A = 110° , ∠B = 70°

Step-by-step explanation:

Let the angle be ∠A and ∠B,

Let the supplementary ∠B = x° ----> (1)

Given: ∠A = 2x-30, ∠A + ∠B = 180 ( supplementary angles ).

∠A + ∠B = 180°  ( From Given )

(2x - 30) + x = 180 ( Substitute from given and (1)

2x - 30 + x = 180

3x - 30 = 180

3x = 180 + 30

3x = 210

x = $\frac{210}{3}$

∴ x = 70°

∠B = x  ( from (1) )

∴ ∠B = 70°

∠A = 2x - 30   ( From given )

∠A = 2 * 70 -30

∴ ∠A = 110°

  OR

∠A + ∠B = 180° ( from Given )

∠A + 70° = 180°

∠A = 180 - 70

∴ ∠A = 110°

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