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siniylev [52]
1 year ago
15

Find the value of x in the given figure​

Mathematics
1 answer:
RSB [31]1 year ago
3 0

To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

<h3>Use the Angle Sum Property</h3>

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

65+42+x=180

<h3>Combine Like Terms</h3>

Combine the like terms by combining the constants on the left side of the equation using addition:

65+42+x=180

107+x=180

<h3>Subtract</h3>

After combining like terms, subtract 107 from both sides of the equation:

107 - 107 +x = 180-107

\boxed{x=73}

The final answer is <em>x</em> = 73 degrees.

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