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°.

Step-by-step 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 $6x -10 + 4x +6+7x +14 = 180.$

$17x + 10 = 180.$

$17x = 170, x = \frac{170}{17} = 10.$

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.