QS is an angle bisector, what is the value of x?

The recent school question and answer asked students to tell what they agree to is the main important point for a student to do to be able to accomplished success. The one which response stood out from the rest was practice. Persons who commonly are successful do not become successful by being born. They work hard and commitment their lives to succeeding. This is how you can attain your goals. the following are one of the answer and question example that you could certainly work with to practice and develop your information and also give you insights that would help you to maintain your study in school.


QS is an angle bisector, what is the value of x?



The value of x is 16

Step-by-step explanation:

The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle


∵ QS is the angle bisector

∵ PR is the opposite side

→ By using the rule above


PS = x and PQ = 30

∵ PR = 40

∵ RS = PR – PS

∴ RS = 40 – x

RS = 40 – x and RQ = 45

→ Substitute them in the rule above


→ By using the cross multiplication

x × 45 = 30 × (40 – x)

∴ 45x = 30(40) – 30(x)

∴ 45x = 1200 – 30x

→ Add 30x to both sides

∵ 45x + 30x = 1200 – 30x + 30x

∴ 75x = 1200

→ Divide both sides by 75

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x = 16

The value of x is 16

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