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en la figura mostrada a continuación, l || m. hallar x. 39° x° 132° x =

Question

en la figura mostrada a continuación, l || m. hallar x. 39° x° 132° x =

Explanation:

Step1: Find the adjacent - angle to 132°

The adjacent - angle to 132° on line \(m\) is \(180 - 132=48^{\circ}\) since they are supplementary angles (\(\angle A+\angle B = 180^{\circ}\)).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). In the triangle, we know two angles: \(39^{\circ}\) and \(48^{\circ}\). Let the third angle be \(x\). Then \(x=180-(39 + 48)\).

$$x=180 - 87$$
$$x = 93$$

Answer:

93