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vlabodo [156]
3 years ago
10

if angle 1 and angle 2 form a linear pair. if m<1=5x+9 and m<2=3x+11, find the measure of both angles

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

Answer: m\angle 1=109\°\\m\angle 2=71\°

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles \angle1 and \angle2 are supplementary, which means that they add up to 180 degrees.

So, knowing that:

m\angle 1=5x+9\\m\angle 2=3x+11

We can write the following expression and solve for "x":

(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20

Therefore, substituting, we get that the measures of the angles \angle1 and \angle2 are:

 m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°

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