Question

In an isosceles triangle, the vertical angle measures 120°, what is the measure of each of the base angles?
PLEASE HELP!​

Answer 1

Given:

• The vertical angle measures 120°

To find:

• The measure of each of the base angles?

Solution:

• Let's consider ABC is a triangle.

Where,

• Vertical angle = 120°

• As it is a isosceles triangle other two angles(base angles) will be equal.

• Let base angles of the triangle be x.

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« Now, By forming an equation,

→ 120° + x + x = 180°

→ 120° + 2x = 180°

→ 2x = 180° - 120°

→ 2x = 60°

→ x = 60/2

→ x = 30°

∴ Hence, The measure of base angles of the triangle is 30°.

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« Now, Let's verify this,

→ 120° + x + x = 180°

→ 120° + 30° + 30° = 180°

→ 180° = 180°

LHS = RHS

• Hence Verified.

Answer 2

Your answer is in the attachment.