GEOMETRY HELP PIC

Question

a) 28º b) 31º c) 62º d) 90º

Answer 1

Because BA is a diameter, Arc BA is 180° so, since ∠BCA is an inscribed angle, it's value will be half of the arc it subtends so it must equal 90°.

Since a triangle has 180°, ∠B = 180 - 90 - 62 = 28°

Answer 2

As you know the sum of all three angles of a triangle is 180 degrees. You know Angle A is 62 degrees and Angle B is 90 degrees as it is a right angle triangle.

So, Angle A+B+C=180

Angle A+90+62=180

Therefore, Angle A=180-152=28 degrees is the final answer.