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Mathematics

In the given figure, AOB is a straight line. Find the measure of ∠AOC.

Classify each of the following marked angles as acute, right, obtuse, straight or a reflex angle : Lines and Angles, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

Lines & Angles

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Answer

Since AOB is a straight line, we have:

∠AOC + ∠BOC = 180°

We know from the figure that ∠BOC = 45°

Substituting the value of ∠BOC in above, we get:

⇒ ∠AOC + 45° = 180°

⇒ ∠AOC = 180° - 45°

⇒ ∠AOC = 135°

Thus, the measure of ∠AOC is 135°.

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