Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
I believe the correct answer is C.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
By definition, the sum of the exterior angles of a polygon is 360 degrees.
Knowing this, you can write the following equation:
Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:
1. You need to add the like terms:
2. Now, subtract 40 from both sides of the equation:
3. Finally, you must divide both sides of the equation by 4. Then:
Answer:3
b
−
2
c−
d
,
t
o
3
,
3
+
3d
−
3
b
Step-by-step explanation:
(
b
−
c
)
⋅
3
+
(
c
-d
) raise t
o 3
3
+
(
d
−
b
)
⋅
3
Write the problem as a mathematical expression.
(
b
−
c
)
⋅
3
+(
c
−
d
) raise t
o3
3+
(
d
−
b)
⋅
3
Remove parentheses.
(
b
−
c)
⋅
3
+
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
b
⋅
3
−
c
⋅
3
+
c−
d
Move 3 to the left of b
.
3
⋅
b
−
c
⋅
3
+
c
−
d
Multiply 3 by −
1 ⋅
3
b
−
3
c
+
c
−
d
Add −
3
c and c.
3
b
−
2
c
−
d
,
t
o
3
,
3
+
(
d
−
b
)
⋅
3
Simplify each term.
Apply the distributive property.
3
+
d ⋅
3
−
b ⋅
3
Move 3 to the left of d
.
3
+
3
⋅
d
−
b
⋅
3
Multiply 3 by −
1
.
3
+
3
d
−
3
b
