Questions: 422) Find the measure of each angle (10x+22x+17.808 #27) Two angles form a linear pair. The measure of one angle is three times the measure of the other angle. Find the measure of each angle.

Solution Steps

The problem states that two angles form a linear pair. This means that the sum of the two angles is 180 degrees.

Let the measure of one angle be \( x \). Since the measure of the other angle is three times the measure of the first angle, it can be represented as \( 3x \).

Since the angles form a linear pair, their sum is 180 degrees: \[ x + 3x = 180 \]

Combine like terms: \[ 4x = 180 \] Divide both sides by 4: \[ x = 45 \]

Since the other angle is three times the measure of the first angle: \[ 3x = 3 \times 45 = 135 \]

Final Answer