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3 years ago

Triangle ABC has angle measures as shown A x-5 B 3x+30 C 35 qhat is the value x

Mathematics

2 answers:

Allushta [10]3 years ago

6 0

Answer:

The value of x = 30

Step-by-step explanation:

It is given that,

In triangle ABC,

<A = x - 5, <B = 3x + 30 and <C = 35

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

<A + <B + <C = 180 [ angle sum property]

(x - 5 ) + (3x + 30 ) + 35 = 180

x - 5 + 3x + 30 + 35 = 180

x + 3x - 5 + 30 + 35 = 180

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 120/4 = 30

Therefore the value of x = 30

<A = x - 5

<A = 30 - 5 = 25°

<B = 3x + 30

<B = 3*30 + 30 = 90 + 30 = 120°

Vinvika [58]3 years ago

5 0

Answer:

$x=30\ degrees$

$m$

Step-by-step explanation:

we know that

The sum of interior angles in a triangle must be equal to 180 degrees

$(x-5)+(3x+30)+(35)=180\°$

solve for x

$4x=180\°-60\°$

$4x=120\°$

$x=30\°$

$m$

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