Question

Use the given circle to find the values of angles A, B and D. Arc AB =130

Answer 1

Given:

A triangle ABD is inscribed in a semi-circle.

Arc AB = 130

To find:

Use the given circle to find the values of angles A, B and D. Arc AB = 130

Solution:

From given, we have,

Arc AB = 130

(Property of a triangle inscribed in a semi-circle - One of the angle will be equal to 90° because the other two angles of a triangle form the diameter of the circle.)

∴ ∠ A = 90°

(Inscribed angle theorem - the measure of an inscribed angle is half the measure of its intercepted arc)

∠ = 1/2 (m arc)

∠ D = 1/2 (m arc AB)

= 1/2 × 130°

∴ ∠ D = 65°

wkt, the sum of angles in a triangle is 180°

∠ A + ∠ B + ∠ D = 180°

90° +  ∠ B + 65° = 180°

155° + ∠ B = 180°

∠ B = 180° - 155°

∴ ∠ B = 25°

Answer 2

Answer:

Step-by-step explanation:yuyugy