24. ABCDE and PQRST are regular pentagons. P
E
O
B
Diagram NOT
accurately drawn
R
S
D
C с
SR is parallel to DC
AP = BQ=CR=DS = ET
Work out the size of angle SRC.
You must show all your working.

126°

Step-by-step explanation:

In quadrilateral DSRC, SR || DC (given)

AP = BQ = CR = DS = ET (given)

CR bisects

( is the measure of an angle of pentagon)

(Measure of interior angles on the same side of transversal)

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.