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2 years ago

Need answer this urgent and fast

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

5 0

Answer:

Step-by-step explanation:

Hey There!

so this is a parallelogram so opposite angles are congruent

So basically what i am saying is that angle P is congruent to angle R

So we need to solve for x

We know that angle P and angle Q are supplements meaning that they will add up to 180

so we setup the equation

$180=3x+5+8x-12\\$

step 1 combine like terms

$3x+8x=11x\\5-12=-7$

now we have

180=11x-7

step 2 add 7 to each side

180+7=187

-7+7 cancels out

now we have

187=11x

step 2 divide each side by 11

187/11=17

x=17

now we plug in 17 to (3x+5) to get the value of angle R

17x3=51

51+5=56

therefore m∠R = 56

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