Question

the measurement of a minor arc is 147 degree what is the measure of major arc?​

Answer 1

Answer:

If the measurement of a minor arc is 147 degree, then the measure of the major arc is 213°.

Step-by-step explanation:

Given: The measurement of a minor arc = 147°

Find the measure of major arc.

We know that the total arc of the circle is 360°  

Given minor arc is 147°  

Then measure arc =360° −147° = 213°

Answer 2

Answer:

∴ Measure of a major arc is $213^{0}$.  

Step-by-step explanation:

In context to question asked,

• We have to find the measure of major arc.
• The measure of minor arc = $147^{0}$
• We know that, the arc measures less than $180^{0}$ is known as minor arc.
• The arc measures more than $180^{0}$ is known as major arc.
• The arc which is equal to $180^{0}$, is known as semicircle.
• The sum of minor arc and major arc is equal to $360^{0}$.
• To find the measure of major arc, we have to subtract the measure of minor arc from $360^{0}$.

               Major arc + Minor arc = $360^{0}$

                    ∴ Major arc + $147^{0} =360^{0}$

                              ∴ Major arc = $360^{0} -147^{0}$

                              ∴ Major arc = $213^{0}$

• ∴ Measure of a major arc is $213^{0}$.