Question

Please help, I don't know how to do this question and it is a TEST!!!!!!

Answer 1

The values of x , m∠1, m∠2, m∠4, m∠6, m∠7, m∠8 are: 8, 53, 127, 127, 127, 53 and 127 respectively.

Using the parameters given ;

• m∠3 = 5x + 13
• m∠5 = 53

To find x ;

m∠3 = m∠5 (opposite angles)

5x + 13 = 53

5x = 53 - 13

5x = 40

x = 8

To find m∠1 :

• m∠1 = m∠3 (corresponding angles)

m∠1 = 53°

To find m∠2 :

• m∠2 + m∠1 = 180 (sum of angles on a straight line)

m∠2 = 180 - 53

m∠2 = 127°

To find m∠4 :

• m∠4 = m∠2 (corresponding angles)

m∠4 = 127°

To find m∠6 :

• m∠6 = m∠4 (opposite angles)

m∠6 = 127°

To find m∠7 :

• m∠7 = m∠1 (opposite angles)

m∠7 = 53°

To find m∠8 :

• m∠8 = m∠2 (opposite angles)

m∠8 = 127°