Question

Geomtry plz help 15 points

Answer 1

According to the Isosceles Triangle Theorem, if two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.

Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.

46+46+x=180

x = the measure of angle A

92+x=180

92-92+x=180-92

x=88

Therefore, the measure of angle A is 88°.

Answer 2

m∠A=88°

Explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

∠BAC=180°-46°-46° (angle sum of triangle)

=88°