Question

Triangles ABC and DEF are similar. If ∠ABC = 101°and ∠BCA = 39°, find the measure of angle FDE.

Answer 1

Two triangles, ABC and DEF, similar. <ABC = 101° and <BCA = 39°. Find the angle of FDE!

40°

Step-by-step explanation

Known :

• Triangle ABC and DEF is similar
• <ABC = 101° = <DEF
• <BCA = 39° = <DFE

Asked :

• Angle of FDE

Answer :

The sum of all triangle angle is 180°

101 + 39 = 140°

180 - 140 = 40°

So, the angle of FDE is 40°

ANSWER DETAILS

Subject : Math

Class : 7th Grade (Junior High School)

Chapter : -

Categorization Code : -

Keywords : Angle of a triangle