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
Find the complement of the following angle:

Identify the given pair of angles are complementary or supplementary.
63°, 27°
(y − 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.
Find the measure of the complement of an angle of measure 70°?
Find the complementary angle of 85°
Find the complementary angle of 0°
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
Write the measure of the complementary angle of the following angles
72°
Two right angles are complementary to each other.
