Transversal Problems with Equations (Level 1) Jol 19, 2:05:45 PM
Given m||n, find the value of x.
(8x-7)°
(x-28)

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x is 21°

Step-by-step explanation:

The angles formed between the transversal t and lines m and n are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, t, and lines m and n, the angles are corresponding angles

Given that lines, m and n are parallel, we have the corresponding angles formed by the transversal, t, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make x the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

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step-by-step explanation: