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Answer:

Angle A = 15°

use angle properties of triangle to solve this.

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Step-by-step explanation:

Given Angle CBD = 30,

Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)

Angle ABC + 30 = 180

Angle ABC = 180 - 30 = 150

Since Angle AB =~ BC,

Angle A = Angle C

Let angle A and C be x.

Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)

[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]

Therefore Angle A = 15 degrees

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