Respuesta :

Answer:

x=40/3

Step-by-step explanation:

1. measure of angle 1 and measure of angle 6 are congruent

Reason: vertical angles

(other way: measure of angle 1 is 45 so measure of angle 2 is 135.

using this you can also see that they are congruent)          

2. 3x+5=45

Reason: algebra and substitution

This is kind of a statement and reason if you are trying to do a formal proof.

Hope it helps and if I am right could you please give a brainliest?

Respect3105

Answer:

[tex] < 1 \: and < 2 = 180 \\ 180 - 45 = 135 \\ also \: \: \: 135 + (3x + 5) = 180 \\ 3x = 40 \\ x = \frac{40}{3} \\ x = 13 \ \frac{1}{3} [/tex]

Or at least there is very easy solution:

[tex] < 1 = <6 \: \\ so \: \: 3x + 5 = 45 \\ 3x = 40 \\ x = 13 \ \frac{1}{3} [/tex]

The answer of x is:

[tex]13 \ \frac{1}{3} [/tex]

Good luck!

Intelligent Muslim.

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