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lapo4ka [179]
2 years ago
12

In the figure, PMQ, PNR, MOR and NOQ are straight lines. It is given that  △PQN ≅ △PRM. Find x and y.​

Mathematics
1 answer:
defon2 years ago
8 0
PRM +MPR+PMR=180。(angle sum of triangle)
70。+35。+PMR=180。
PMR=75。
x+PQR=180。(angle on straight line)
x=105。

MQO=QOM
QMO+2MQO=180。(angle sum of triangle)
105+2MQO=180。
MQO=37.5。

MQO+y+MPN=180。(angle sum of triangle)
37.5+70+y=180。
y=72.5
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Mashutka [201]

Answer:

Step-by-step explanation:

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it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

2(2x)+2(3y)=(2)6

(do not forget to multiply what the equation is equal to also)

4x+6y=12

now for the second equation we need y to equal negative 6

-3(5x)+-3(2y)=-3(4)

-15x-6y=-12

now lets put the 2 new equations next to each other and see what we can cancel out

4x+6y=12

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x=0

now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.

2(0)+3y=6

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so your answer is x=0, y=2

8 0
3 years ago
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tino4ka555 [31]
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3 years ago
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Norma-Jean [14]

Answer:

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Step-by-step explanation:

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4 0
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6 0
3 years ago
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Arturiano [62]

Answer:

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Step-by-step explanation:

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5 0
1 year ago
Read 2 more answers
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