Question

Can you solve these 2 problems please

Answer 1

1) The top angle = 128°

Right angle = 52°

Bottom angle = 128°

Left angle = 52°

2) The top angle = 159°

Right angle = 21°

Left angle = 21°

Explanation:

The left problem would involve verticle angles being congruent to each other.

`5x + 2 = x + 42\\\\6y + 8 = 7y - 12`

Solve each equation:

`5x + 2 = x + 42\\4x = 40\\x = 10`

`6y + 8 = 7y - 12\\20 = y`

Substitute:

The top angle = 128°

Right angle = 52°

Bottom angle = 128°

Left angle = 52°

The right problem would involve supplementary angles.

`(1)/(4)y - 1 + 27x + 24 = 180\\\\27x + 24 + 4x + 1 = 180`

Solve for second equation (for simplicity) :

`27x + 24 + 4x + 1 = 180\\31x + 25 = 180\\31 = 155\\x = 5`

Substitute x = 5 into other equation :

`(1)/(4)y - 1 + 27x + 24 = 180\\(1)/(4)y - 1 + 27(5) + 24 = 180\\(1)/(4)y = 22\\y = 88`

Substitute :

The top angle = 159°

Right angle = 21°

Left angle = 21°