Question

If triangle ABC is similar to triangle DEF,angle A equal to 46 degree angle E equal to 62 degree then measure of angle C equal to 72 degree ,is it true give reason

Answer 1

Answer:

It is true since similar triangles have equal angles.

Angles of triangle ABC and DEF will be equal respectively.

Also the sum of the angles add upto 180 degree. So it is true

Step-by-step explanation:

Answer 2

Answer If triangle ABC is similar to triangle DEF

Then,

Angle A=Angle D

Angle B=Angle E

Angle C= Angle F

So,

Angle E=62

Angle B=62

Because angle E=angle B

In triangle ABC

We know that the sum of all sides of triangles are equal to 180

So,

Angle A+Angle B+Angle C=180

46+62+Angle C=108

108+Angle C=180

Angle C=180-108

Angle C=72

Therefore yes Angle C is equal to 72 degrees