Question

Two angles are complementary. The larger angle is 3 degree less than twice the measures of the smaller angle. Find measures of each angle?

Answer 1

Complementary angles are those pair of angles whose sum is 90 degrees.

Let x be the measure larger angle and y be the measure of smaller angle.

Accn to the given condition,

x = 2y - 3

We know that x + y = 90,

Substituting we get,

2y - 3 + y = 90
3y = 93
y = 31 degrees

then we get
x = 2 (31) - 3
x = 59 degrees

Answer 2

Hey there!

Let us suppose first angle to be x
& second angle be y

[Here, two equations will be formed]

According to ur question,

i) ANGLES ARE COMPLEMENTARY:

x + y = 90° ------(1)

ii) ONE ANGLE IS 3 DEGREE LESS THAN THE TWICE THE MEASURE OF OTHER ANGLE :

x = 2y - 3 ----(2)

By elimination,
y = 31°

Putting y = 31° in eq.--- (1)

x = 31°

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