Question

Answers are 61, 98, 12, and 49

Answer 1

i dont know

Explanation:

Answer 2

16) ∠ABC = 48°

17) ∠ABC = 98°

Explanation:

Bisect: To divide into two equal parts.

Question 16

First find the value of x.

If BD bisects ∠ABC then:

⇒ ∠ABD = ∠DBC

⇒ 4x = 3x + 6

⇒ 4x - 3x = 3x + 6 - 3x

⇒ x = 6

Substitute the found value of x into the equation of ∠ABC:

⇒ ∠ABC = ∠ABD + ∠DBC

⇒ ∠ABC = 4x + 3x + 6

⇒ ∠ABC = 4(6) + 3(6) + 6

⇒ ∠ABC = 24 + 18 + 6

⇒ ∠ABC = 42 + 6

⇒ ∠ABC = 48°

Question 17

First find the value of x.

If BD bisects ∠ABC then:

⇒ ∠ABD = ∠DBC

⇒ 5x - 11 = 4x + 1

⇒ 5x - 11 - 4x = 4x + 1 - 4x

⇒ x - 11 = 1

⇒ x - 11 + 11 = 1 + 11

⇒ x = 12

Substitute the found value of x into the equation of ∠ABC:

⇒ ∠ABC = ∠ABD + ∠DBC

⇒ ∠ABC = 5x - 11 + 4x + 1

⇒ ∠ABC = 9x - 10

⇒ ∠ABC = 9(12) - 10

⇒ ∠ABC = 108 - 10

⇒ ∠ABC = 98°