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using linear pairs to find an unknown value what is the value of ( x )?…

Question

using linear pairs to find an unknown value
what is the value of ( x )?
60
45
55
30

Explanation:

Step1: Identify linear pair

Angles \( x^\circ \) and \( 3x^\circ \) form a linear pair, so their sum is \( 180^\circ \).
\[ x + 3x = 180 \]

Step2: Solve for \( x \)

Combine like terms:
\[ 4x = 180 \]
Divide both sides by 4:
\[ x = \frac{180}{4} = 45 \]

Answer:

45