Question

If ON = OL find mOML

A. 26°
B. 48°
C. 52°
D. 64°
Please select the best answer from the choices provided​

Answer 1

The correct answer is option A. 26°

Explanation:

From the figure we can see that,

ON = OL

OM ⊥ NL

Therefore m<N = m<L

To find the value of x

m<N = m<L

7x + 8 = 9x -8

9x - 7x = 8 + 8

2x = 16

x = 8

To find the value of m<OML

x = 8

m<L = 9x - 8

= 9*8 - 8 = 72 - 8 = 64

m<OML = 180 - (<L + <O)

= 180 - ( 64 + 90)

= 26°

Therefore the correct answer is option A. 26°

Answer 2

A. 26°

Explanation:

If ON =OL, then the two triangles are are similar.

The base angles must be equal.

`(9x-8)\degree=(7x+8)\degree`

We group the similar terms to obtain:

`9x-7x=8+8`

`2x=16`

Divide through by 2 to get:

x=8

`m\angle OML=90-(7x+8)`

Substitute x=8

`m\angle OML=90-(7(8)+8)`

`m\angle OML=90-(56+8)`

`m\angle OML=26\degree`