Question

Two angles are a linear pair. Their measures are represented by x+10, and 3x+10. What are the measures of the angles?
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Answer 1

Answer:

The required answer is $50$° and $130$°.

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect at a single point. The angles are said to be linear if they follow the point where the two lines intersect in a straight line. The sum of the angles in a pair of linear equations is always $180$°. These are additionally referred to as angles.

Given: The measures are represented by $x+10$ and $3x+10$

To find: the measures of the angles.

When two angles form a linear pair, they form a straight line, which sums to $180$ angle.

According to question,

$x+10+3x+10=180$°

Adding $x$ term and constant term.

$4x+20=180$°

Subtract $20$ from both side.

$4x+20-20=180-20$

$4x=160$

Calculate the value of $x$.

$x=160/4$

$x=40$°

Substitute the value of $x=40$ in $x+10$ and $3x+10$.

• $x+10=40+10=50$°
• $3*40+10=120+10=130$°

Therefore, the measures of the angles is $50$° and $130$°

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