Question

A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two congruent angles

Answer 1

Answer:

let the angles be x

the angles are same hence x+x=2x

therefore the sum of angles will be 2x

this implies that 90+2x=180(angle sum property)

2x= 180-90

2x, =90

x=45

therefore the two other angles are of 45 degree each

Answer 2

the sum of the measure of interior angles is 180. If x represent the measured of one of the congruent interior angles ,then 2x+90=180

represent the sum of the measurement of angles

may it helps u