Question

What is the messure of angle 4

Answer 1

the measure of angle 4 is 40

Answer 2

m∠4 = 40°

Explanation:

Using the vertical angle theorem we can find that...

m∠6 ≅ m∠7

`11x+8=12x-4 \\ \\ x=12`

`11(12)+8 \\ 132+8 \\ 140`

Using this, we know that angle 6 and 8 are supplementary so...

m∠6 + m∠8 = 180°

140° + m∠8 = 180°

m∠8 = 40°

Then, we can use the corresponding angle theorem to find that...

m∠8 ≅ m∠4

m∠4 = 40°