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2 years ago

Given m||n, find the value of x. т Rt >m (2X-22) (5x-8)° >

Mathematics

2 answers:

Darya [45]2 years ago

8 0

Given angles are supplementary.

$\\ \sf\longmapsto 2x-22+5x-8=180$

$\\ \sf\longmapsto 7x-30=180$

$\\ \sf\longmapsto 7x=180+30=210$

$\\ \sf\longmapsto x=\dfrac{210}{7}$

$\\ \sf\longmapsto x=30$

Leno4ka [110]2 years ago

8 0

Answer:

Step-by-step explanation:

<h2>Hope it helps..... </h2>

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Need answer this urgent and fast

Karo-lina-s [1.5K]

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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