Question

Please help me!!!!!!!!

Answer 1

X+22+2x-13=180 degrees
3x + 9 =180
3x=171
X=57

Answer 2

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`\large\underline{ \boxed{ \sf{✰\:Notes }}}`

✟ Now let ✟

• ➣Let these two parallel line be p and q
• ➣ and angle "x + 22" be a
• ➣ and angle "2x-13" be b

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• ➣ Here given two lines are parallel and also know as transversel
• ➣ angle a and b are same side interior angle
• ➣ and given two angle are supplementary
• ➣ and sum of supplementary angle is of 180⁰
• ➣ soo the equation formed is a+b =180⁰

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★ Now let's solve according to concept

`\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = (171)/(3) } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}`

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★ More info ★

• ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.
• ➣Transversal :-A line which traverses or intersects any system of other lines transversely.
• ➣ Interior angles :- The inner angle between two sides

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✠ Hence ✠

`{ \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}`

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Hope it helps !