Sample Explanation: The sum of the measure of the interior angles of a triangle is 180°. If x represents the measure of one of the congruent interior angles, then 2x + 90 =180 represents the sum of the measures of all the angles. Solve the equation and x = 45°.
Have a good day! Hope this helps! I couldn't find a way to explain it so sorry. You may change some words in this just so it doesn't look like you cheated
Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.
So now, we do 180 - 90 = 90 this is the sum of the other angles.
We shall assume that they are the same and divide 90/2 = 45 degrees each
Ok here are some things to understand while solving!
If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)