ULICU Find k. k 45° 7-12 m 45° O 7 O 72 O 7V2 2 O 14
1 answer:
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<h3>Answer: C) 142 degrees</h3>
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Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
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Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
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The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Answer:
B. 40
Step-by-step explanation:
Given:
The given shape is nonagon.
It consist of 9 sides.
We need to find the value of exterior angle 'x'.
Solution:
Now we know that;
"The sum of the exterior angles of any polygon is 360 degrees."
Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles.
Since here there is Nonagon then there would be 9 exterior angles.
So measure of angle 'x' =
Hence The value of 'x' 40°.