Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
Answer:
the answer is D.
Step-by-step explanation:
IF RIGHT PLZ MARK BRAINLIEST
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
hope this helps :)
Answer: The measure of Angle 2 = 148°
Step-by-step explanation:
Given: The measure of Angle 2 is twelve less than five times the measure of Angle 1.
Let the measure of Angle 1 = x
Then, measure of Angle 2 = 5x-12
Since both the angles form linear pair, so their sum = 180° [linear pair of angles must add up to 180°.]
Then, x+ (5x-12) = 180
⇒ x+ 5x-12= 180
⇒ 6x-12= 180
⇒ 6x= 180+12
⇒ 6x= 192
⇒ x= 32 [divide both sides by 6 ]
So, measure of Angle 2 = 5(32)-12 = 160-12 = 148°
Hence, the measure of Angle 2 = 148°