Let OA, OB, OC and OD are rays in the anticlockwise direction such that ∠AOB = ∠COD = 100°, ∠BOC = 82° and ∠AOD = 78°. Is it true to say that AOC and BOD are lines?

Question

TextLinear Pair of AnglesNCERT Exemplar

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In Fig. ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT

Assertion: The measure of angle y is 65°. Reason: Straight line extended an angle of 180°.

lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.

TextLinear Pair of AnglesTheorem on Vertically Opposite Angles

In Fig. 6.2, POQ is a line. The value of x is

For what value of x + y in Fig. 6.4 will ABC be a line? Justify your answer.

In Fig. 6.9, OD is the bisector of ∠AOC, OE is the bisector of ∠BOC and OD ⊥ OE. Show that the points A, O and B are collinear.