157k views
9 votes
In the diagram, ACDE AGHI. Find the value of y. с 13 cm E O y = 70 O y = 52 O y = 45 O y = 44 58⁰ 65° D I (x - y) cm H​

In the diagram, ACDE AGHI. Find the value of y. с 13 cm E O y = 70 O y = 52 O y = 45 O-example-1
User Mikeyy
by
5.0k points

1 Answer

9 votes

Answer:

Sum of the angles of a triangle =180

Since the: ECD ~IGH

so: e=i..d=

Explanation:

Since the two triangles are equal, then:

E=I=58 ...,D=H=65 ...,C=G=X

Ec = ig. Ed = ih. Cd = gh

Since the sum of the angles of a triangle is 180

Van:

180=I+H+G

180= 58 +65 +X

X= 180-58-65

X= 57

Since the :

Cd = gh

13=X-Y

Y=57 -13

Y=44

User Radoslawik
by
5.1k points