Chapter 9: Q10. (page 341)

In exercises $8 - 13$ find the angle or the arc named.
$∠ G Q E$

Short Answer

Expert verified

The measure of angle $∠ G Q E$ is $110 ° .$

Step by step solution

Step 1. Given information:

The given figure is,

Step 2. Concept used:

In the circle the arc of the given circle is equals to the angle that is asked.

In the circle the arc of the circle can be calculated by adding the arcs of the circle related to it.

Step 3. Applying the concept:

Here, we can see in the figure

$\begin{array}{l} m \overset{⏜}{G E} = m \overset{⏜}{G F} + m \overset{⏜}{F E} \\ = 60^{\circ} + 50^{\circ} \\ = 110^{\circ} \end{array}$

As we know,

$\begin{array}{l} m ∠ G Q E = m \overset{⏜}{G E} \\ {=110}^{\circ} \end{array}$

Therefore, the measure of the angle $∠ G Q E$ is $50 ° .$

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In exercises $8 - 13$ find the angle or the arc named.
$∠ G Q E$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

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In exercises 8-13 find the angle or the arc named. ∠GQE

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In exercises $8 - 13$ find the angle or the arc named.
$∠ G Q E$