Answer:
<h2>x = 145°, y = 35°</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
m || n
<em><u>So</u></em><em><u>,</u></em>
35° = y° <em>[</em><em>Alternate</em><em> </em><em>interior</em><em> </em><em>angles</em><em>]</em>
<em>And</em><em>,</em>
y° + x° = 180° <em>[</em><em>Since</em><em> </em><em>linear</em><em> </em><em>pair</em><em>]</em>
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
<em><u>Hence</u></em><em><u>, </u></em>
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>145</u></em><em><u>°</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em><em><u>°</u></em>
Well, since 3 candles are 19.50, simply divide. This will make a ratio so that 1 candle will equal 6.50 per candle.
19.50 / 3 candles = 6.50 per candle.
<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.
