Hence, the measure of the angles are
∠q = 65°
∠r = 65°
∠s = 50°
∠t = 65°
∠b = 64°
<h3>Calculating the measure of angles </h3>
From the question, we are to determine the measure of the angles.
Calculating the measure of angle q
∠q + 65° + (180° - 130°) = 180° (<em>Sum of angles in a triangle</em>)
∠q + 65° + 50° = 180°
∠q + 115° = 180°
∠q = 180° - 115°
∠q = 65°
Calculating the measure of angle r
∠r = ∠q (<em>Corresponding angles</em>)
Therefore,
∠r = 65°
Calculating the measure of angle s
∠s + ∠r + 65° = 180° (<em>Sum of angles on a straight line</em>)
∠s + 65° + 65° = 180°
∠s + 130° = 180°
∠s = 180° - 130°
∠s = 50°
Calculating the measure of angle t
∠t = ∠r <em>(Vertically opposite angles</em>)
Therefore,
∠t = 65°
Second diagram
Calculating the measure of angle b
∠b = ∠a <em>(Corresponding angles</em>)
Therefore,
∠b = 64°
Learn more on Calculating the measure of angles here: brainly.com/question/24607467
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