Question

In each of the following figures, find the measure of each angle.​

Answer 1

Answer:

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Step-by-step explanation:

Angle POQ = 180*

POS + SOR + ROQ = 180* [Linear Pair]

[x + 20] + [x] + [x + 10] = 180*

3x + 30* = 180*

3x = 180 - 30

3x = 150*

x = 150 / 3

x = 50*

POQ = 50 + 20 = 70*

SOR = 50*

ROQ = 50 + 10 = 60*

Proof: 50 + 60 + 70 = 180*

Answer 2

Answer:

Angle ∠$x=50$°, ∠$x+10=60$°, ∠$x+20=70$°.

Step-by-step explanation:

We know the total of angles on a straight line is $180$°.

Therefore, $(x+20)+x+(x+10)=180$

that is,

$3x+30=180\\\\3x=180-30=150\\\\x=50$

hence one angle ∠$SOR=50$°$=x$

second angle ∠$SOP=(X+20)$°$=70$°

and the third angle ∠$ROQ=60$°

Hence the answer

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