Answer:
x is 21°
Step-by-step explanation:
The angles formed between the transversal <em>t</em> and lines <em>m</em> and <em>n</em> are; (8·x - 7)°, and (9·x - 28)°
Based on the similar location the angles are formed by the transversal, <em>t</em>, and lines <em>m</em> and <em>n</em>, the angles are corresponding angles
Given that lines, <em>m</em> and <em>n</em> are parallel, we have the corresponding angles formed by the transversal, <em>t</em>, and the lines are equal, therefore;
(8·x - 7)° = (9·x - 28)°
Simplifying the above equation to make <em>x</em> the subject, we get
(28 - 7)° = 9·x - 8·x = x
∴ 21° = x
x = 21°.
