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

Answer:

A. 26°

Step-by-step 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

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

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

$m\angle OML=26\degree$

Answer 2

Answer:

The correct answer is option A. 26°

Step-by-step 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°