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°.
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Answer:
I got blue 3 and green 7
Step-by-step explanation:
why it is blue 3 is because there are 3 of the blue and for the green there are 4 it landed on the 3 green and that was the 7th one
Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
Answer: 1 5/12
Step-by-step explanation:
Divide 17 by 12
A. equation: y = -3x - 2
B. y-intercept: -2
<em><u>Solution:</u></em>
Given that,
<em><u>Write the equation 12x = - 4y - 8 in slope-intercept form</u></em>
The slope intercept form is given as:
Where,
m is the slope and "c" is the y intercept
From given
Thus the slope intercept form is found
Comparing with y = mx + c ,
c = -2
Thus the y intercept is -2
