Question

how to do it

find angle CBQ​

Answer 1

Step-by-step explanation:

The sum internal angles is 180

5x +2x+12 =180

7x +12 =180

7x =168

X=168/7

X=24

Answer 2

Answer:

$\large\bold\red{\angle CBQ = 60 \degree}$

Step-by-step explanation:

In the given diagram,

We have,

PQ || CB and BQ is a transversal.

Now,

We know that,

Angle 5x and Angle CBQ are co - interior angles.

Also,

The sum of co - interior angles = 180°

But,

Angle CBQ = (2x +12)°

Therefore,

We get,

$= > 5x + 2x + 12 = 180 \\ = > 7x = 180 - 12 \\ = > 7x = 168 \\ = > x = \frac{168}{7} \\ = > x = 24$

Therefore,

(2x+12) = (2×24) +12 = (48 + 12) = 60

Hence,

$\large \boxed{\bold{\angle \: CBQ = 60\degree}}$