Question

Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle, M, O, N, equals, 8, x, minus, 13, degrees \qquad m \angle LOM = 7x - 17^\circm∠LOM=7x−17 ∘ m, angle, L, O, M, equals, 7, x, minus, 17, degrees Find m\angle MONm∠MONm, angle, M, O, N:

Answer 1

48

Explanation:

because i say so

Answer 2

`\boxed{99</strong><strong>°</strong><strong>}`

Explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

`\mathrm{8x - 13 + 7x - 17 = 180}` ( sum of angle in straight line )

Collect like terms

`\mathrm{15x - 13 - 17 = 180}`

Calculate

`\mathrm{15x - 30 = 180}`

Move constant to R.H.S and change its sign

`\mathrm{15x = 180 + 30}`

Calculate the sum

`\mathrm{15x = 210}`

Divide both sides of the equation by 15

`\mathrm{ (15x)/(15) = (210)/(15) }`

Calculate

`\mathrm{x = 14}`

Now, let's find the value of m<MON

`\mathrm{8x - 13}`

Plug the value of x

`\mathrm{ = 8 * 14 - 13}`

Calculate the product

`\mathrm{ = 112 - 13}`

Calculate the difference

`\mathrm{ = 99}` °

Hope I helped!

Best regards!