Question

Can i get help with these 6 questions

Answer 1

Answer:

Question 21

• ∠PQS = 22°
• ∠PQR = 44°

Question 22

• ∠ABC = 47°
• ∠CBD = 47°

Question 23

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

Step-by-step 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,

$∠ABD = 94°$

$∠ABC = ∠CBD = 94 \div 2 = 47°$

Question 23,

$∠ABD = ∠DBC$

$x + 15 = 4x - 45$

$4x - x = 15 + 45$

$3x = 60$

$x = 60 ÷ 3 = 20°$

$∠ABD = 20 + 15 = 35°$

$∠DBC = 4(20) - 45 = 35°$

$∠ABC = ∠ABD + ∠DBC = 35 + 35 = 70°$