Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
C. 95°
Step-by-step explanation:
Sumplementary angles sum 180°
144° + a = 180°
a = 180° - 144°
a = 36°
121° + b = 180°
b = 180° - 121°
b = 59°
The sum of internal angles of a triangle is 180°
a + b + c = 180°
36° + 59° + c° = 180°
c° = 180° - (36°+59°)
c° = 180° - 95°
c° = 85°
then:
c + n = 180°
85° + n = 180°
n = 180° - 85°
n = 95°
Divide by -2 for all of the numbers
64/-32=-2
-32/ 2= -16
-16/2= -8
-8/-2= 4
4/-2= -2
Answer : 4 ,-2
