98.7k views
12 votes
Are EFG and HIJ similar

Are EFG and HIJ similar-example-1
User Gruangly
by
8.9k points

2 Answers

8 votes

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:


100 + 35 + E = 180


E here represents the measure of angle E.

Add together like terms:


135 +E = 180

Then subtract 135 from both sides:


E = 45

We can, likewise, form another equation for angle J :


100 + 45 + J = 180

Add together like terms:


145 +J = 180

Then subtract 145 from both sides:


J = 35

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

User Mohammad Sadiq
by
7.4k points
14 votes
Yes, AAA criteria. The corresponding angles are congruent
User Calpau
by
8.8k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories