Answer:
x = 125°
Step-by-step explanation:
The first board is the left side of the figure, so:
What do I need to find?
The angle of the first board is the value of x, so we need to find x.
What information do I need to use?
To know the angle of x, we will use the measure of the adjacent angle
How will I use this information?
Since the angles with measures x and 55° form a straight line, the sum of these angles is 180°, so we will write an equation and then solve for x.
Solve the problem
We can write the following equation:
x + 55 = 180
x + 55 - 55 = 180 - 55
x = 125
Therefore, the angle is 1250
How can you check the answer to the problem?
Finally, we can check the answer adding 125 and 55 as:
125 + 55 = 180
Since the sum is 180, the answer is correct.
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slve