Answer:
it is.............1180 :]
The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
To learn more about Vertical angle ,
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6
What do AIA, SAG, AFP and AMA all stand for? Select four options.
American Institute of Architects
American Society of Mechanical Engineers
American Medical Association
Screen Actors Guild
Association for Finance Professionals
Professional Colleges
Primary sources contain information
A. with the advantage of hindsight and the perspective of an outside observer and may be more objective.
B. provided by someone who's been through an event. It's a firsthand account that lends a unique perspective.
C. on statistics gathered after an important historical event.
D. on psychological information gathered from raw data from psychological tests.
