Question

please answer the question​

Answer 1

Answer:

d) 105°

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Answer 2

Given:

• ∠A = 30°
• ∠B = 135°

To find:

• Value of ∠C.

Solution:

We are given,

∠A = 30°

∠B = 135°

∠C = ?

We know that, the sum of all the angles of a triangle is 180°.

☆ Using angle sum property of triangle (ASP of △)

∠A + ∠B + ∠C = 180°

Substitute the values,

30°+135°+∠C = 180°

165° + ∠C = 180°

∠C = 180°-165°

∠C = 15°

Verification:

Substitute the value of ∠C in the equation as 15°

LHS = 30°+135°+∠C

RHS = 180°

30°+135°+∠C = 180°

30°+135°+15° = 180°

180° = 180°

LHS = RHS

Hence Verified!

Value of ∠C is:

Value of ∠C is 15°.

Therefore, option b) 15° is the correct answer. ✅