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Look at photo

if m5=3x+5 and m3=x+95, then

1. What is the value of x?
2. What is the measure of angle 3?
3. What is the measure of angle 5?

BRAINLIEST ANSWER Look at photo if m53x5 and m3x95 then 1 What is the value of x 2 What is the measure of angle 3 3 What is the measure of angle 5 class=

Respuesta :

Answer:

[tex] x = 20\\

m\angle 3 = 115\degree \\

m\angle 5 = 65\degree \\

[/tex]

Step-by-step explanation:

[tex]m\angle 3 + m\angle 5= 180\degree \\

(interior \:\angle\:Postulate) \\

(x + 95) \degree +(3x + 5) \degree = 180\degree \\

(4x + 100)\degree = 180\degree \\

4x + 100 = 180\\

4x = 180-100\\

4x = 80\\

x = \frac{80}{4}\\

\huge \red {\boxed {x = 20}} \\\\

m\angle 3 =(x + 95)\degree \\

m\angle 3 =(20 + 95)\degree \\

\huge \orange {\boxed {m\angle 3 =115\degree}} \\\\

m\angle 5 = (3x + 5)\degree \\

m\angle 5 = (3\times 20+ 5)\degree \\

m\angle 5 = (60+ 5)\degree \\

\huge \purple{\boxed {m\angle 5 = 65\degree}} \\\\

[/tex]