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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Answer:
Mexico
Step-by-step explanation:
It’s in Spanish
which one, and um this catagory is english
Answer:
OA
Step-by-step explanation:
yax2;
12+34+5+6=21 so y2+35
Answer:
x^12 y^2 z^11
a= 12
b= 2
c= 11
Step-by-step explanation:
On the numerator you distribute the exponent 3 to the other exponents.
I think you multiply the 3 so you would get: x^15 y^3 z^12.
so it looks like x^15 y^3 z^12 / x^3yz
Then you subtract the top exponents from the bottom exponent because when you are dividing you subtract exponents. the exponent for y and z in the denominator is 1
and thats how i got x^12 y^2 and z^11. The exponents are a b and c
I hope that is right
