Question

I got 3 angles and they make 180° angle A is 6x - 10°. Angle B is 4x + 6°. And Angle C is 7x + 14°. What is X, What is Angle A, What is Angle B, And what is Angle C. Angle A and C are Acute Angles and Angle B looks like its either a Right Angle or an Obtuse Angle

Answer 1

We get x is 10°. So angle A is 50°, angle B is 46°, and angle C is 84°.

Explanation:

Step 1:

The sum of all the angles for a straight line is 180°. So the sum of the three given angles is 180°.

The angles are
`6x-10^\circ`,
`4x+6^\circ,` and
`7x+14^\circ.`

So
`6x -10 + 4x +6+7x +14 = 180.`

`17x + 10 = 180.`

`17x = 170, x = (170)/(17) = 10.`

So x = 10°.

Step 2:

Angle A
`= 6x - 10^\circ = 60 - 10 = 50^\circ.` Angle A is an acute angle.

Angle B
`= 4x+6^\circ = 40+6 =46^\circ.` Angle B is an acute angle.

Angle C
`= 7x + 14^\circ = 70 + 14= 84^\circ.` Angle C is also an acute angle.