1 answer:
You might be interested in
Answer:
126°
Step-by-step explanation:
1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.
2. Now, we know that adjacent of 54 is 126. Also, we know that ║
║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.
Answer:
The shortest side of the triangle is 3 inches.
Step-by-step explanation:
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
<em>Let the one side be </em>
<em>And the second side be .</em>
<em>And the third side be .</em>
According to question:
⇒
Adding all the variables by taking common denominator we get:
⇒
<em>Multiplying both sides by 12 we get</em>:
⇒
<em>Dividing both sides by 9 we get</em>:
⇒
Thus, <em>the sides of the triangle are</em>:
<u>1/6×18=3 inches.</u>
<u>1/3×18=6 inches.</u>
<u>1/4×18=9/2=4.5 inches</u>.
Therefore, the shortest side of the triangle is 3 inches.