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find the value of x. 134° 99° x =

Question

find the value of x. 134° 99° x =

Explanation:

Step1: Find adjacent angle to 134°

The angle adjacent to \(134^\circ\) on a straight line is \(180^\circ - 134^\circ = 46^\circ\).

Step2: Sum of triangle angles is 180°

In a triangle, the sum of interior angles is \(180^\circ\). Let the angles be \(46^\circ\), \(99^\circ\), and \(x^\circ\). So, \(x + 46 + 99 = 180\).

Step3: Solve for x

Simplify: \(x + 145 = 180\). Subtract 145: \(x = 180 - 145 = 35\).

Answer:

\(x = 35\)