For each of the following, find the measure of &lt;1 (O is the center of the circles) 4.m&lt;1= 5.m&lt;1= 6.m&lt;1=

Step 1To find the measure of&nbsp;∠&nbsp;1 in the given figuresStep 21) From the given figure we can find that are containing angle&nbsp;85∘&nbsp;have&nbsp;∠&nbsp;1 at center.Therefore, from the figure we can conclude that:∠1=85∘2) We know that the sum of angles at center of a circle is&nbsp;360∘From the figure ,we have280∘+∠1=360∘∠1=360∘−280∘∠1=80∘3) We know that the angles on a straight line formed linear pair angle.The sum of linear pair angle is&nbsp;180∘From the figure, we have130∘+∠1=180∘∠1=180∘−130∘Therefore&nbsp;∠1=50∘

"For each of the following, find the measure..." was answered by our community

Joni Kenny

Answered question

2021-08-09

For each of the following, find the measure of $< 1$ (O is the center of the circles)
4. $m < 1 =_{}$
5. $m < 1 =_{}$
6. $m < 1 =_{}$

Answer & Explanation

2k1enyvp

Skilled2021-08-10Added 94 answers

Answer in photo below

Vasquez

Expert2021-12-28Added 669 answers

Step 1

To find the measure of $∠$ 1 in the given figures

Step 2

1) From the given figure we can find that are containing angle $85^{\circ}$ have $∠$ 1 at center.

Therefore, from the figure we can conclude that:

$∠ 1 = 85^{\circ}$

2) We know that the sum of angles at center of a circle is $360^{\circ}$

From the figure ,we have

$280^{\circ} + ∠ 1 = 360^{\circ}$

$∠ 1 = 360^{\circ} - 280^{\circ}$

$∠ 1 = 80^{\circ}$

3) We know that the angles on a straight line formed linear pair angle.

The sum of linear pair angle is $180^{\circ}$

From the figure, we have

$130^{\circ} + ∠ 1 = 180^{\circ}$

$∠ 1 = 180^{\circ} - 130^{\circ}$

Therefore $∠ 1 = 50^{\circ}$

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Didn't find what you were looking for?