Question

In Δ ABC, AC = BC and ∠ C = 110°. Find ∠ A and ∠ B.​

Answer 1

Answer:

GIVEN:

• AC = BC
• ∠ C = 110°

TO FIND:

∠A=?; ∠B=?

SOLUTION:

This is an isosceles triangle because AC = BC.

Thus, the base angles or the angles opposite to the equal sides are equal.

∴∠A=∠B.

Let ∠A=∠B=.

We can use the angle sum property:

∠C+∠B+∠A=180°.

Substitute ∠A=∠B=; ∠C=110°.

++110°=180°.

2=70°

=70°÷2

=35°.

Since ∠A=∠B, ∠A=35°, ∠B=35°.

HOPE THIS HELPS :S