PLEASE HELP WILL GIVE BRAINLIEST :(
2 answers:
Answers:
The three interior angles are
Angle M = 73
Angle A = 75
Angle T = 32
===================================
Explanation:
Check out the attached image. This is optional but helpful in my opinion to see how the three interior angles are formed.
The exterior angle of A is 105, so the interior angle of A is 180-105 = 75. Subtract the exterior angle from 180 to get the interior counterpart.
Do the same for angle M: 180-(2x+27) = 180-2x-27 = 153-2x
The interior angle for T is x-8 as the interior angle and the "x-8" angle shown are vertical angles, so they are congruent.
---------
So far, we found the three interior angles to be
A = 75
M = 153-2x
T = x-8
Add up these three interior angles, set it equal to 180, solve for x
A+M+T = 180
75+153-2x+x-8 = 180
-x+220 = 180
-x+220-220 = 180-220
-x = -40
x = 40
--------
If x = 40, then...
interior angle M = 153-2x = 153-2*40 = 73
interior angle T = x-8 = 40-8 = 32
As a check, note how the three interior angles add to 180:
A+M+T = 75+73+32 = 180
You might be interested in
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
Answer:
Option D. 8 units
Step-by-step explanation:
step 1
Find the area of rectangle
The area of rectangle is
step 2
Find the length side of the square with the same area of rectangle
The area of a square is
where
b is the length side of the square
we have
substitute
take the square root both sides
therefore
The length side of the square is 8 units