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Find the value of x so that line l is parallel to line m. Round to tenths

Find the value of x so that line l is parallel to line m. Round to tenths-example-1
User Dre Sid
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The value of x to the nearest tenth is 11.1

Step-by-step explanation:

Using an illustration to make it easy:

Angles with same colours are corresponding angles. Corresponding angles are equal.

This means the 2nd angle with green colour is equal to (9x - 5)°

(9x - 5)° + (7x + 3)° = 180° (sum of angles on a line)

9x - 5 + 7x + 3 = 180

collect like terms:

9x + 7x - 5 + 3 = 180

16x - 2 = 180

16x = 180 - 2

16x = 178

x = 178/16

x = 11.125

The value of x to the nearest tenth is 11.1

Find the value of x so that line l is parallel to line m. Round to tenths-example-1
User Vertigoelectric
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