Question

Does anyone know this???
Pls help.

Answer 1

110°

Explanation:

Triangle ABD is an isosceles triangle.

This means that ∠ ADB is also 65°

Use the Triangle Sum Theorem (All angles of a triangle sum up to 180°)

65 + 65 = 130

180 - 130 = 50

∠ ABD is 50°

For Triangle BCD, all of the sides are the same.

This means all of the angles will be 60° (60° * 3 = 180°)

To find ∠ ABC, you add the two angles

60° + 50° = 110°

Answer 2

∠ABC = 110°

Explanation:

Since Δ BCD is equilateral then the 3 angles are congruent with measure 60°

Thus ∠ DBC = 60°

Δ ABD is isosceles with AB = BC

Thus the base angles are congruent, that is

∠ BAD = ∠ ADB = 65°

Calculate ∠ ABD by subtracting the sum of the base angles from 180°

∠ ABD = 180° - (65 + 65)° = 180° - 130° = 50°

Hence

∠ ABC = ∠ ABD + ∠ DBC = 50° + 60° = 110°