Question

Hi can someone help me with this geo question please thanks

Answer 1

Answer:

x = 24 , y = 19

Step-by-step explanation:

(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so

2x + 13 + 47 + 3x = 180 , that is

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

Then 3x = 3 × 24 = 72

5y - 23 and 3x are corresponding angles and are congruent , then

5y - 23 = 72 ( add 23 to both sides )

5y = 95 ( divide both sides by 5 )

y = 19