Question

9/9 triangle angle sum theorem
you try!!!

1. triangle with 85°, 50°, ( x )
2. triangle with 35°, ( x + 74 ), 54°
3. triangle with ( 8x + 3 ), 70°, 60°

multiple-choice question
what is the measure of the missing angle in question 1?
options: 180, 45, 35

Explanation:

Step1: Recall Triangle Angle Sum Theorem

The sum of the interior angles of a triangle is \(180^\circ\). So for the triangle in question 1, we have \(x + 85^\circ+ 50^\circ= 180^\circ\).

Step2: Calculate the sum of known angles

First, add the known angles: \(85^\circ + 50^\circ=135^\circ\).

Step3: Solve for \(x\)

Subtract the sum of known angles from \(180^\circ\): \(x = 180^\circ- 135^\circ = 45^\circ\).

Answer:

45 (corresponding to the option with 45, e.g., if the option is labeled as the second one with text "45", then the answer is the option with 45, like B. 45 assuming the options are ordered as 180, 45, 35)