Question

If ABC is a triangle and the relation between angles is A-B=15° and B-C=30°,then find the values of the angles​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

We have,

A−B=15

∘

......(1)

B−C=30

∘

B=C+30

∘

......(2)

On adding both equation, we get

A−C=45

∘

A=C+45

∘

......(3)

In a triangle,

A+B+C=180

∘

......(4)

Substituting the value from equation (1) and (2), we get

C+45

∘

+C+30

∘

+C=180

∘

3C=105

∘

∠C=35

∘

.

Substituting this value in equation (1) and (2), we get

∠B=65

∘

∠A=80

∘

Hence, the angles are ∠A=80

∘

∠B=65

∘

∠C=35

∘

.