If m∠W = 105° and m∠Y = 75°, then m∠X =
Responses:
* 10°.
* 20°.
* 30°.
* 75°.
* 120°.
There's a triangle that has a line on top on the line there's Point W and on the top of the triangle there's Point Z and on the right side there's Point Y and on the left side and Point X
To find the measure of ∠X, we can use the fact that the sum of the angles in a triangle is 180°.
In this case, we know that m∠W = 105° and m∠Y = 75°.
Let's assume m∠X = x°.
Since the sum of the angles is 180°, we can write the equation:
m∠W + m∠Y + m∠X = 180°
Substituting the given measures:
105° + 75° + x° = 180°
Simplifying the equation:
180° + x° = 180°
Subtracting 180° from both sides:
x° = 0°
Therefore, m∠X is 0°.
None of the given responses match the calculated value, so none of the options given are correct.
Oh I'm sorry there was no line on top It's an additional line to the triangle coming from the left side
No problem! If there is an additional line coming from the left side, we can consider the triangle as a right triangle.
Let's assume that the additional line intersects with the line segment WZ at point P.
Since we have a right triangle, we know that the sum of the angles in a triangle is 180° and that one angle is 90°.
So, we have:
m∠W + m∠Y + m∠X = 180°
Substituting the given measures:
105° + 75° + m∠X = 180°
Simplifying the equation:
180° + m∠X = 180°
Subtracting 180° from both sides:
m∠X = 0°
Therefore, m∠X is 0°.
None of the given responses match the calculated value, so none of the options given are correct.
Never mind there's no line just the triangle
I apologize for the confusion. Since there is only a triangle without any additional lines or information, we cannot determine the measure of angle X based on the given information.
Therefore, the answer is indeterminate and none of the given responses are correct.
Question
If m∠W = 105° and m∠Y = 75°, then m∠X =
Responses
A 10°.10°.
B 20°.20°.
C 30°.30°.
D 75°.75°.
E 120°.120°.
There's a triangle with Point Z on top Point Y on the right side and Point X on the left side
Since we have a triangle, we know that the sum of the angles in a triangle is 180°.
Let's assume that m∠X = x°.
Therefore, we have:
m∠W + m∠Y + m∠X = 180°
Substituting the given measures:
105° + 75° + x° = 180°
Simplifying the equation:
180° + x° = 180°
Subtracting 180° from both sides:
x° = 0°
Therefore, m∠X is 0°.
None of the given responses match the calculated value, so none of the options A, B, C, D, or E are correct.
Question
If m∠Z = 105° and m∠Y = 75°, then m∠X =
Responses
A 10°.10°.
B 20°.20°.
C 30°.30°.
D 75°.75°.
E 120°.120°.
There's a triangle with Point Z on top Point Y on the right side and Point X on the left side
Since we have a triangle, we know that the sum of the angles in a triangle is 180°.
Let's assume that m∠X = x°.
Therefore, we have:
m∠Z + m∠Y + m∠X = 180°
Substituting the given measures:
105° + 75° + x° = 180°
Simplifying the equation:
180° + x° = 180°
Subtracting 180° from both sides:
x° = 0°
Therefore, m∠X is 0°.
None of the given responses match the calculated value, so none of the options A, B, C, D, or E are correct.