In a kite-flying ground, two parallel boundary strings are crossed by a long control string acting as a transversal. The alternate interior angles formed must be equal. One is given as (7x - 24) deg and the other as (3x + 16) deg. Find the measure of each alternate interior angle (deg).

Question

Accepted Answer

46. Alternate interior angles equal: 7x - 24 = 3x + 16, so 4x = 40, x = 10. Angle = 7(10) - 24 = 46°.

In a kite-flying ground, two parallel boundary strings are crossed by a long control string acting as a transversal. The alternate interior angles formed must be equal. One is given as $(7 x - 24)$ deg and the other as $(3 x + 16)$ deg.
Find the measure of each alternate interior angle (deg).

Step-by-Step Solution

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More Class 9 Parallel Lines and a Transversal practice

In a kite-flying ground, two parallel boundary strings are crossed by a long control string acting as a transversal. The alternate interior angles formed must be equal. One is given as (7x−24) deg and the other as (3x+16) deg.Find the measure of each alternate interior angle (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

In a kite-flying ground, two parallel boundary strings are crossed by a long control string acting as a transversal. The alternate interior angles formed must be equal. One is given as $(7 x - 24)$ deg and the other as $(3 x + 16)$ deg.
Find the measure of each alternate interior angle (deg).