Advertisements
Advertisements
प्रश्न
Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.
Advertisements
उत्तर
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
संबंधित प्रश्न
If two angles are complementary, then the sum of their measures is _______.
The measure of the angle is given below. Write the measure of the complementary angle.
20°
The measure of the angle is given below. Write the measure of the complementary angle.
x°
Find the measures of the complementary angle of the following angle.
a°
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 complementary angle of 85°
Write the measure of the complementary angle of the following angles
38°
If the complement of an angle is 79°, then the angle will be of ______.
An angle is 45°. Its complementary angle will be ______.
