Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°
Answer:
x > 5
Step-by-step explanation:
0 < x-5. Add 5 to both sides...
+5 +5
5 < x Rearrange answer
x > 5
Answer:
32.99/4 is about 8.25
8.25 x 3= 24.75
about 24.75
Step-by-step explanation:
Answer:
34 °
Step-by-step explanation:
∠D = 71°
∠G = 37°
In ΔGEF
Using angle sum property of triangle : Sum of all angles of triangle is 180°
∠G+∠E+∠F = 180°
Since ΔGEF is right angled triangle at F so, ∠F = 90°
Now, 37°+∠E+90° = 180°
127°+∠E= 180°
∠E= 180°-127° =53°
Now ∠E+∠D = 53°+71° = 124°
Now using exterior angle property in ΔABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles
∠E+∠D is the exterior angle of ΔABC
So, ∠A+∠B = ∠E+∠D
since ΔABC is right angled triangle at B so, ∠B = 90°
∠A+90° = 124°
∠A = 124°-90°
∠A = 34°
Hence the measurement of angle A is 34 °
