Angle ABD measures (4x + 10)o. Angle ACD measures (5x − 2)o.

Circle E is shown. Angles A B D and A C D intercepts arc A D. Angles B A C and B D C intercepts arc B C.

What is the measure of arc AD?

The measure of arc AD is 116 degrees and it can be determined by using the properties of a circle.

Given that,

Angle ABD measures (4x + 10).

Angle ACD measures (5x − 2).

Circle E is shown.

Angles ABD and ACD intercept arc AD.

Angles BAC and BDC intercept arc BC.

We have to determine,

What is the measure of arc AD?

According to the question,

Angle ABD measures (4x + 10).

Angle ACD measures (5x − 2).

Circle E is shown.

Angles ABD and ACD intercept arc AD.

Angles BAC and BDC intercept arc BC.

In the given condition, Angle ABD and Angle ACD have inscribed angles, intercepting the same arc then by the intercept arc property.

Angle ABD = Angle ACD

The value of x is 12.

Therefore,

The measure of arc AD is,

Substitute the value of x,

Hence, the measure of arc AD is 116 degrees.

To know more about Circle click the link given below.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

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