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
Identify the given pair of angles are complementary or supplementary.
80°, 10°
The measure of the angle is given below. Write the measure of the complementary angle.
x°
What is the measure of the complement of the following angles?
45º
What is the measure of the complement of the following angles?
65º
Angles of measures (a + 15)° and (2a)° are complementary. What is the measure of each angle?
Find the supplementary/complementary angle
Write the measure of the complementary angle of the following angles
72°
Write the measure of the complementary angle of the following angles
38°
The angles x and 90° – x are ______.
One obtuse angle and one acute angle can make a pair of complementary angles.
