Question

Find the Value of x in each figure.

[REFER TO ATTACHED PICTURE]​

Answer 1

First pic) x = 10

Second pic) x = 25

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Explanation:

☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other

☆The equation would be a 9x - 15 = 7x + 5.

☆Let's solve it!

`\: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ ( - 7x \: \: \: \: \: \: \: = - 7x)/(2x - 15 = 5) \\ ( \: \: \: \: \: \: \: \: \: \: + 15 = + 15)/( (2x)/(2) = (20)/(2) ) \\ \\ x = 10`

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☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.

☆The equation would be: 2x + 15 + x = 90.

☆Let's solve it!

`2x + 15 + x = 90 \\ 3x + 15 = 90 \\ ( \: \: \: \: \: \: \: \: \: - 15 = - 15)/( (3x)/(3) = (75)/(3) ) \\ \\ x = 25`