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find the missing angle (triangle with angles 70°, 35°, and a°; options:…

Question

find the missing angle (triangle with angles 70°, 35°, and a°; options: 75, 105, 180, 70)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Set up the equation

Let the missing angle be \(a\). Then \(a + 70 + 35 = 180\).

Step3: Solve for \(a\)

First, add \(70\) and \(35\): \(70 + 35 = 105\). Then, \(a = 180 - 105\). So \(a = 75\).

Answer:

75