QUESTION IMAGE
Question
question 2
1 pts
what is the value of z?
104°
22°
19°
x°
y°
z°
question 3
1 pts
what is the value of e?
60°
Step1: Find the first - interior angle
The sum of angles on a straight - line is 180°. The non - interior angle adjacent to 104° is 180 - 104=76°.
Step2: Calculate the sum of known interior angles
In the triangle, two of the interior angles are 22° and 76°. The sum of these two angles is 22 + 76 = 98°.
Step3: Use the exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
The exterior angle \(z\) is formed by the extension of one side of the triangle. The two non - adjacent interior angles to \(z\) are 19° and the sum calculated in Step2.
So \(z=19 + 98=117\).
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117