Chapter 9: Q6. (page 341)

Find the measure of central $∠ 1 .$

Short Answer

Expert verified

The measure of angle $∠ 1$ is $55 ° .$

Step by step solution

Step 1. Given information:

The figure is given with the arc $= 35 °$

Step 2. Concept used:

In the circle the measure of arc is given.

$1)$ The total angle corresponding to one full circle is $360 °$

$2)$ A quadrant portion corresponds to $90 ° .$

Step 3. Applying the concept:

Here, we can see that in the figure.

Here, $∠ 1$ is a part of a quadrant whose other part is $35 ° .$ Thus, the $∠ 1$ can be calculated as,

$\begin{matrix} ∠ 1 = 90^{\circ} - 35^{\circ} \\ = 55^{\circ} \end{matrix}$

Therefore, the measure of the angle $∠ 1$ is $55 ° .$

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Find the measure of central $∠ 1 .$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

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Find the measure of central ∠1.

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

Geometry

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Study anywhere. Anytime. Across all devices.

Find the measure of central $∠ 1 .$