295,097 views
34 votes
34 votes
What are the measures of the base angles of a right isosceles triangle? Explain

User Alexander Molodih
by
2.6k points

1 Answer

19 votes
19 votes

Answer:

The measure of a base angle of an isosceles right triangle is 45 degrees. In any triangle, the sum of all three angles equals 180 degrees.

Explanation:

So we've got angle X plus 20 plus the second 20 because they're base of an isosceles triangle the angles are equal all that is equal to 180 degrees.

The angles that involve the base of an isosceles triangle are known as the 'base angles. ' The angles situated opposite to the equal sides of an isosceles triangle are always equal. All the three angles situated within the isosceles triangle are acute, which signifies that the angles are less than 90°.

So the two base angles must add up to 180-40, or 140°. Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.

User Tom Siwik
by
2.9k points