Question

Pls explain ! and answer

Answer 1

A. The incorrect statement is “the measure of the smaller angle is 55”

B. The incorrect statement is “the value of x is 10”

C. The incorrect statement is “the measure of the larger angle is 38”

Explanation:

A - in the photo, it shows a right angle. It gives us x and x - 20. To find x, we must do the equation:

X + (x - 20) = 90

After doing the equation, x does equal 55.

But 55 is not the smaller angle.

X - 2 is because replace x with 55 and you have the equation “55 - 20”

This equals 35 and 35 is less than 55.

Therefore that statement is wrong.

B - when you have an angle bisector like in the photo, both angles will add up to 180. Although if x = 10, the angles would be 30 and 60. 60 + 30 = 90 not 180.

In this situation, x would equal 20 not 10

120 + 60 = 180

6 x 20 = 120 and 3 x 20 = 60

C - this statement is wrong because complementary angles ALWAYS add up to 90. If x = 19

2 x 19 = 38 and 3(19) - 5 = 52

These angles are right but 38 is obviously not the larger angle. The larger angle is 52.

Answer 2

A) the value of x is 55 degrees
The second statement is NOT correct so you replace it with
55-20=35 so the smaller angle is 35 degrees
Shown work to prove that the first statement was true :
x+x-20=90
2x-20=90
2x=110
x=55

B) the first statement is not correct
The second systems is correct
The angle measurements equals 60° and 120°
The first system that needs to be corrected to the value of x =20
The work to proof that value of x is 20:
3x+6x=180
9x=180
x=20

C)
The first statement is NOT correct
It should be written : the value of x =17
Work to proof value of x:
2x+3x-5=90
5x-5=90
5x=85
x=17
The second statement is also NOT CORRECT.
We plug in “17” to both angles
Angle 1 : 2(17) = 34 degrees
Angle 2 : 3(17)-5 =46 degrees
So the second statement should be rewritten
The Measure of the larger angle is 46° what are