Choose the Correct Option. If Arc Axb and Arc Ayb Are Corresponding Arcs And M(Arc Axb) = 120° Then M(Arc Ayb) = _______ - Mathematics

MCQ
Choose the correct option.
If arc AXB and arc AYB are corresponding arcs and m(arc AXB) = 120° then m(arc AYB) = _______

• 140°

• 60°

• 240°

• 160°

Solution

240°

Explanation:

Consider that arc AXB is the minor arc and arc AYB is the corresponding major arc.
It is known that, the measure of major arc = 360 − the measure of the corresponding minor arc.
We have, m(arc AXB) = 120°.
So, m(arc AYB) = 360 − m(arc AXB) = 360 − 120 = 240
Hence, the correct answer is option 240°.

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APPEARS IN

Balbharati Mathematics 7th Standard Maharashtra State Board
Chapter 11 Circle
Practice Set 43 | Q 1 | Page 79