138k views
0 votes
I need help with number 1

I need help with number 1-example-1
User Flodis
by
5.9k points

1 Answer

2 votes

Answer:∠1=55° ∠2=55° ∠3=55° ∠4=70° ∠5=55°

Explanation:

We know that opposite angles of rhombus are congruent and the diagonals of rhombus cut the vertex angles into half. So ∠4=70° and ∠2=∠3=∠1=∠5.

Let ∠2+∠3=x

the sum of four angles of rhombus= 360°

70+70+ x +x = 360°

140+2x = 360°

2x=220°

x=110°

∠2=110°/2=55°=∠3=∠1=∠5

User Chfumero
by
5.6k points