Question

Can i get help with these 6 questions

Answer 1

Question 21

• ∠PQS = 22°
• ∠PQR = 44°

Question 22

• ∠ABC = 47°
• ∠CBD = 47°

Question 23

• ∠ABD = 35°
• ∠DBC = 35°
• ∠ABC = 70°

Explanation:

When the question says a line bisects an angle which means that this line is cut exactly at the centre of an angle so both angles will be the same :

Question 21,

`∠PQR = ∠SQR`

`∠PQS = 22°`

`∠PQR = ∠PQS + ∠SQR`

`∠PQR = 22 + 22 = 44°`

Question 22,

`∠ABD = 94°`

`∠ABC = ∠CBD = 94 / 2 = 47°`

Question 23,

`∠ABD = ∠DBC`

`x + 15 = 4x - 45`

`4x - x = 15 + 45`

`3x = 60`

`x = 60 ÷ 3 = 20°`

`∠ABD = 20 + 15 = 35°`

`∠DBC = 4(20) - 45 = 35°`

`∠ABC = ∠ABD + ∠DBC = 35 + 35 = 70°`