Question

Need help solving this I know it has to do with angles ands its not -4 :/

Answer 1

`\sf \angle 5 = 109^\circ`

`\sf \angle 8 = 71^\circ`

Explanation:

Given:

`\sf \angle 5 = (3x+7)^\circ`

`\sf \angle 8 = (2x+3)^\circ`

To find:

`\sf \angle 5 \textsf{ and } \angle 8`

Solution:

`\sf \angle 5 \textsf{ and } \angle 8` are linear pairs.

Now, we can set up the expressions as:

`\sf \angle 5 + \angle 8 =180^\circ`

Since sum of angle of linear pair or straight line is 180°.

Substituting the value

`\sf (3x + 7) + (2x + 3) = 180`

Combine like terms.

`\sf 3x+7+2x+3=180`

`\sf 5x + 10 = 180`

Subtract 10 from both sides:

`\sf 5x = 180-10`

`\sf 5x=170`

Divide both sides of the equation by 5.

`\sf x=(170)/(5)`

`\sf x = 34`

Substitute 34 for x in the expressions:

`\sf \angle 5 = (3)(34) + 7 = 109^\circ`

`\sf \angle 8 = (2)(34) + 3 = 71^\circ`