Two lines XY and MN intersect at O. Angle XOM = (4x - 5) deg and the angle vertically opposite to angle XON is (2x + 35) deg. Note angle XON is the linear-pair partner of angle XOM. Find x.

Question

Accepted Answer

25. Angle vertically opposite to XON equals XON = (2x + 35). XOM and XON form a linear pair: (4x - 5) + (2x + 35) = 180, 6x + 30 = 180, 6x = 150, x = 25.

Two lines XY and MN intersect at O. Angle XOM = $(4 x - 5)$ deg and the angle vertically opposite to angle XON is $(2 x + 35)$ deg. Note angle XON is the linear-pair partner of angle XOM. Find $x$ .

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More Class 9 Pairs of Angles practice

Two lines XY and MN intersect at O. Angle XOM = (4x−5) deg and the angle vertically opposite to angle XON is (2x+35) deg. Note angle XON is the linear-pair partner of angle XOM. Find x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Pairs of Angles practice

Two lines XY and MN intersect at O. Angle XOM = $(4 x - 5)$ deg and the angle vertically opposite to angle XON is $(2 x + 35)$ deg. Note angle XON is the linear-pair partner of angle XOM. Find $x$ .