QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *

m∠PQR = (7x + 6)⁰

Step-by-step explanation:

Please find the diagram in the attachment.

Mathematically, since the angle PQR is bisected by the given line, it means that;

RQS + PQS = PQR

Thus;

PQR = (2x + 6) + 5x

PQR = 2x + 6 + 5x

PQR = 7x + 6

m∠PQR = (7x + 6)⁰

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b