33.1k views
2 votes
Please answer this question now

Please answer this question now-example-1

2 Answers

4 votes

Answer:

<G = 47 degrees

Explanation:

For this problem, we need to understand two things. This tangent on the circle, with a line drawn to the center, forms a right angle at H. Additionally, the sum of the angles of a triangle is 180. Now with these two things, let's solve.

<G = 180 - (43 + 90)

<G = 180 - 133

<G = 47 degrees

Hope this helps.

Cheers.

User Amjad Abujamous
by
7.5k points
1 vote

Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.

This means HG and HG are perpendicular and we have a right angle.

We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.

All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:


180-90-43


=47

The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!

User Karim Manaouil
by
8.4k points

No related questions found

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