Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a

Question

3 years ago

13

nd mesurments of angle B=30 degrees.

1 answer:

beks73 [17] · Answer 1 · 2022-10-16T08:46:06+03:00

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°