Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°
AnswerR
13
Step-by-step explanation:
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
Given:
The angles are:
Example 
1. 
2. 
3. 
4. 
5. 
To find:
The complimentary angle of the given angles.
Solution:
If two angles are complimentary, then their sum is 90 degrees.
Example: Let x be the complimentary angle of
, then



Similarly,
1. The complimentary angle of
is:

2. The complimentary angle of
is:

3. The complimentary angle of
is:

4. The complimentary angle of
is:

5. The complimentary angle of
is:

Therefore, the complimentary angles of
are
respectively.
Answer:
-4
Step-by-step explanation:
-36v+42=186
-36v=144
v=-4