Question

Hi can someone please help me Im struggling with this!!!

Answer 1

Hence, the measure of the angles are

∠q = 65°

∠r = 65°

∠s = 50°

∠t = 65°

∠b = 64°

Calculating the measure of angles

From the question, we are to determine the measure of the angles.

Calculating the measure of angle q

∠q + 65° + (180° - 130°) = 180° (Sum of angles in a triangle)

∠q + 65° + 50° = 180°

∠q + 115° = 180°

∠q = 180° - 115°

∠q = 65°

Calculating the measure of angle r

∠r = ∠q (Corresponding angles)

Therefore,

∠r = 65°

Calculating the measure of angle s

∠s + ∠r + 65° = 180° (Sum of angles on a straight line)

∠s + 65° + 65° = 180°

∠s + 130° = 180°

∠s = 180° - 130°

∠s = 50°

Calculating the measure of angle t

∠t = ∠r (Vertically opposite angles)

Therefore,

∠t = 65°

Second diagram

Calculating the measure of angle b

∠b = ∠a (Corresponding angles)

Therefore,

∠b = 64°

Learn more on Calculating the measure of angles here: brainly.com/question/24607467

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