If $∠$ A = 2x and $∠$ B = 3x and the two angles are interior angles on the same side of the transversal then, find the measure of ∠A.

68°

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38°

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60°

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72°

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Solution

The correct option is D 72°
Since $∠$ A and $∠ B$ are interior angles on the same side of the transversal, they are supplementary.
$\Rightarrow$ 2x + 3x = 180°
$\Rightarrow$ 5x = 180°
$\Rightarrow$ x = 36°
$\Rightarrow$ $∠$ A = 2 $\times$ 36 = 72°

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If ∠A = 2x and ∠B = 3x and the two angles are interior angles on the same side of the transversal then, find the measure of ∠A.

The correct option is D 72°Since∠ A and ∠B are interior angles on the same side of the transversal, they are supplementary. ⇒ 2x + 3x = 180° ⇒ 5x = 180° ⇒ x = 36° ⇒ ∠A = 2×36 = 72°

If $∠$ A = 2x and $∠$ B = 3x and the two angles are interior angles on the same side of the transversal then, find the measure of ∠A.

The correct option is D 72°
Since $∠$ A and $∠ B$ are interior angles on the same side of the transversal, they are supplementary.
$\Rightarrow$ 2x + 3x = 180°
$\Rightarrow$ 5x = 180°
$\Rightarrow$ x = 36°
$\Rightarrow$ $∠$ A = 2 $\times$ 36 = 72°