Question

two interior angle of a triangle are in the ratio 3 ratio 4 if the measure of the exterior angle is 105 find the measure of these angle​

Answer 1

Anybody know the answer

Answer 2

Answer:

Given: In triangle ABC, ∠B:∠C = 3:4

Exterior angle = 105° = z

Find: ∠B and ∠C

Step-by-step explanation:

z+∠A = 180° (Linear Pair)

⇒ ∠A = 180-105 = 75°

Let unknown be x.

3x+4x+75 = 180°

⇒7x = 105°

⇒x = 15°

∴ ∠B = 3x = 3(15) = 45°

  ∠C = 4x = 4(15) = 60°

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