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Marrrta [24]
3 years ago
7

A triangle where one angle measures 20° and another angle measures 45°.Help please

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

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Answer:

64^\circ

Step-by-step explanation:

Please refer to the attached figure for the labeling and construction in the given figure:

Given that minor angle of arc AB is 116^\circ.

Or in other words, we can say that angle subtended on the center O by the arc is 116^\circ.

Now, PA and PB are the tangents so, if we join the center of circle O with A and B, the angles formed are right angles.

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Now, we know that sum of internal angles of a quadrilateral is equal to 360^\circ.

Here, we have the quadrilateral AOPB.

\therefore \angle PAO +\angle PBO+\angle AOB +\angle APB=360^\circ\\\Rightarrow 90+90+116+x=360^\circ\\\Rightarrow x = 360 - 180 - 116\\\Rightarrow x = 64^\circ

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