Question

among two congruent angles one is of 60 degrees the measure of the other angle is

Answer 1

Answer:

120

Step-by-step explanation:

let other angle be x

60+x= 180

x= 180-60

x=120

Answer 2

Given:

Two congruent angles.

Measure of one angle = 60°

To find:

The measure of the other angle.

Solution:

Two angles are congruent if their measures are equal. Let $x$ be the measure of an angle, say $A$. Consider another angle $B$ whose measure is unknown but is congruent to ∠A. Then, the measure of ∠B is equal to the measure of ∠A, i.e.,

$<A=x$

∴ $<B=x$

Similarly, we have two congruent angles, but only the measure of one angle is given which is 60°.

Since the other angle is congruent to the given angle, its measure will also be 60°.

Hence, the measure of the other angle is 60°.

Among two congruent angles, if one is 60° the measure of the other angle is also 60°.