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question 19 what is the value of the angle marked with x? a) 146 b) 416…

Question

question 19
what is the value of the angle marked with x?
a) 146
b) 416
c) 614
question 20
identify the side in figure 2 that corresponds to side ab in figure 1.

Explanation:

Response
Question 19

Step1: Recall property of parallelogram

Adjacent angles in a parallelogram are supplementary (sum to 180°).

Step2: Set up equation

Let the given angle be 34°. We have $x + 34^{\circ}=180^{\circ}$.

Step3: Solve for x

$x=180^{\circ}- 34^{\circ}=146^{\circ}$

Brief Explanations

To find corresponding sides in similar - shaped figures, we match the sides based on the orientation and position. Assuming the figures are similar in a way that the orientation and naming convention matter, by visual inspection and matching the positions of the sides in the two figures, side AB in Figure 1 corresponds to side MQ in Figure 2.

Answer:

A. 146

Question 20