Name the angles that are complements to SWT

Mathematics

2 answers:

34kurt3 years ago

8 0

Answer:

The correct answer is C) USP and TSV.

I just finished the test and it was correct.

Hope this helps!!!!!!

zlopas [31]3 years ago

7 0

Two angles are said to be complementary, if the sum of the two angles is 90 degrees.

Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.

From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.

Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.

Therefore, the complementary angles to angle SWT are angle USP and angle TSV.

You might be interested in

Write the equation of the line that has an undefined slope and passes through the point (3,5)

Arlecino [84]

Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.

Next, the equation of a vertical line is x = a where a is any real numbers.

Since the line is vertical, for any a-value would have same y-value which is all real numbers.

However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.

Answer