Advertisements
Advertisements
Question
Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.
Advertisements
Solution
Let one angle be 2x and the other angle be 2x + 2.
We know that the sum of the measures of the complementary angles is 90°.
According to the question,
2x + 2x + 2 = 90°
⇒ 4x = 90° – 2 = 88°
⇒ x = `88^circ/4` = 22°
∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° + 2 = 46°
Thus, one angle is 44° and other is 46°.
APPEARS IN
RELATED QUESTIONS
The measure of the angle is given below. Write the measure of the complementary angle.
63°
The measure of the angle is given below. Write the measure of the complementary angle.
20°
(y − 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.
20° and 70° are complementary
Find the complementary angle of 90°
Find the supplementary/complementary angle
From the figure given below, classify the following pair of angles into complementary and non complementary
From the figure given below, classify the following pair of angles into complementary and non complementary
From the figure name a pair of complementary angles
Write the measure of the complementary angle of the following angles
72°
