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evablogger [386]
2 years ago
15

If ON = OL find mOML

Mathematics
2 answers:
Zanzabum2 years ago
4 0

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

<u>To find the value of x</u>

m<N = m<L

7x  + 8 = 9x -8

9x - 7x = 8 + 8

2x = 16

x = 8

<u> To find the value of m<OML</u>

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°

saveliy_v [14]2 years ago
3 0

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

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