Question

If the two complementary angle is differ by 100 then what is the measure of larger angle?​

Answer 1

Answer:

larger angle = 95°

Step-by-step explanation:

complementary angle = 90°

Difference between the two sides of the complementary angle = 100°

Let the smaller angle be x

therefore, larger angle = x + 100°

then,

x+x+100° = 90°

or, 2x = 90°-100°

or, x = -10°÷2 = -5°

A/q,

required larger angle = {(-5)°+100°} = 95°

let's check,

sum of the angles of complementary angle=90°

then, = (-5)° + 95° = 90° proved.

Also, their difference = {95° - (-5)°}

= 100°

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