Question

QUICK HELP!! 50 POINTS!!
Find the value of x.

x=

Answer 1

`\sf \longmapsto \: (4x + 1) + (2x + 5)`

• It has a sum of 90 as the given angles are complementary angles.

`\sf \longmapsto \: 4x + 1 + 2x + 5 = 90`

`\sf \longmapsto4x + 2x + 1 + 5 = 90`

`\sf \longmapsto6x + 6 = 90`

`\sf \longmapsto6x = 90 - 6`

`\sf \longmapsto \: 6x = 84`

`\sf \longmapsto \: x = \cancel(84)/(6)`

`\sf \longmapsto \: x = 14`

`\boxed{\sf \boxed {{ \sf \red{\: x = 14 }}}}`

Answer 2

x = 14

Explanation:

These angles are complementary angles, meaning they have a sum of 90°.

4x + 1 + 2x + 5 = 90

6x + 6 = 90 (Added like terms.)

6x = 84 (Subtracted 6 on both sides.)

x = 14 (Divided 6 on both sides.)