Lines l || m are cut by a transversal. A corresponding angle is (4x + 18) deg and the angle vertically opposite to it (at the same vertex) measures (6x - 4) deg. Using the fact that these two are equal (vertically opposite), find the value of this angle (deg).

Question

Accepted Answer

62. Vertically opposite angles are equal: 4x + 18 = 6x - 4, so 22 = 2x, x = 11. Angle = 4(11) + 18 = 62°.

Lines l || m are cut by a transversal. A corresponding angle is $(4 x + 18)$ deg and the angle vertically opposite to it (at the same vertex) measures $(6 x - 4)$ deg.
Using the fact that these two are equal (vertically opposite), find the value of this angle (deg).

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More Class 9 Parallel Lines and a Transversal practice

Lines l || m are cut by a transversal. A corresponding angle is (4x+18) deg and the angle vertically opposite to it (at the same vertex) measures (6x−4) deg.Using the fact that these two are equal (vertically opposite), find the value of this angle (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

Lines l || m are cut by a transversal. A corresponding angle is $(4 x + 18)$ deg and the angle vertically opposite to it (at the same vertex) measures $(6 x - 4)$ deg.
Using the fact that these two are equal (vertically opposite), find the value of this angle (deg).