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In parallelogram GRAM, angle G=(19x+4)^circ and angle R=(26x-4)^circ . Find the value of x and the measure of angle R x= square angle R=

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In parallelogram GRAM, angle G=(19x+4)^circ and angle R=(26x-4)^circ . Find the value of x and the measure of angle R x= square angle R=

In parallelogram GRAM, angle G=(19x+4)^circ and angle R=(26x-4)^circ . Find the value of x and the measure of angle R x= square angle R=

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ReginaldProfessional · Tutor for 6 years

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\( x = \frac{8}{7} \)<br />\( \angle R = \frac{296}{7} \)

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## Step 1<br />In a parallelogram, the opposite angles are equal. Hence, we can set the expressions for \(\angle G \) and \( \angle R \) equal to each other.<br />### \(19x + 4 = 26x - 4\)<br />## Step 2<br />Solve the equation for \( x \).<br />## Step 3<br />Substitute the calculated value of \( x \) into the equation \( \angle R = 26x - 4 \) to find the measure of \( \angle R \).
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