DBJ + ABJ = 90
DBJ = ABC
DBC + ABC = 90
JBC + DBC + ABJ = 90
And last but not least:
ABJ = 28
The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
<h3>Exterior angles of a triangle</h3>
The sum of interior angles is equal to the exterior. From the given figure;
Interior angles are 25 degrees and 52 degrees.
The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
2) <4 = 25 + 52
<4 = 77 degrees
Hence the measure of angle 4 is 77 degrees
Learn more on exterior angles here: brainly.com/question/2546141
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Take the sqrt of both sides of <span>(x+2)^2=10:
x+2 = plus or minus sqrt(10)
Solve for x: x = -2 plus or minus sqrt(10)
Evaluate x: x = -2 + sqrt(10) AND x = -2 - sqrt(10) (answers)
</span>
Answer:
Step-by-step explanation:
cartesian plane :
quadrant 1 : both x and y are positive
quadrant 2 : x is negative, y is positive
quadrant 3 : both x and y are negative
quadrant 4 : x is positive and y is negative
(-2,4)......we have x is negative and y is positive...so we are in quadrant 2
(3,-1)....we have x is positive and y is negative...in quadrant 4
(-1,0) ...if u have a 0 in ur points, they do not lie in any quadrant because they are located on an axis....this is located on axis x
(1,2)....both are positive....located in quadrant 1
(-3,-5)...both are negative.....quadrant 3