Question

Using this diagram, find x and y

Answer 1

3y+5 and 52 are complementary

• 3y+5+52=90
• 3y+57=90
• 3(y+19)=90
• y+19=30
• y=11

Apply angle sum property

• 4x+3(11)+5+90=180
• 4x+33+5=90
• 4x+38=90
• 4x=52
• x=13

Answer 2

x=13

y=11

Explanation:

3y+5+52=90

3y=90-57

3y=33

y=33/3=11

4x=52

x=52/4=13