Question

Triangles ABC and ADEF are similar. Find the anges of these triangles

if m/A=100° and mZB=30°.
m/C=,m/D=,mE=, m/F = |

Answer 1

To find the missing angles of similar triangles ABC and ADEF, we use the fact that corresponding angles are equal and the sum of angles in a triangle is 180°. For triangle ABC, angle C is 50°. Thus, for triangle ADEF, angle D is 100°, E is 30°, and F is 50°.

Step-by-step explanation:

The question is about finding the missing angles of similar triangles, given the measures of two angles in one of the triangles.

When two triangles are similar, their corresponding angles are equal. Given that m/A (the measure of angle A) is 100° and m/B (the measure of angle B) is 30° in triangle ABC, we can find the measure of angle C using the fact that the sum of angles in a triangle equals 180°.

So to find m/C, we do:

• 180° - 100° - 30° = m/C

m/C would be 50°. Since triangles ABC and ADEF are similar, m/D = m/A = 100°, m/E = m/B = 30°, and m/F = m/C = 50°.