In triangle UVW, UW is extended through point W to point X, angle VWX = (7x + 10), angle WUV = (2x + 20°, and angle UVW = (2x + 17)°. Find angle VWX.

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Answer

5.0/5

7

oeerivona

The value of x is 9°

Step-by-step explanation:

The given parameters are;

ΔUVW with side UW extended to X

m∠UVW = (3x + 4)°

m∠VWX = (8x -12)°

m∠WUV = (x + 20)°

We have that m∠UVW + m∠WUV  + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)

∴ m∠VWU = 180° - (m∠UVW + m∠WUV)

Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)

∴  m∠VWX + m∠VWU = 180° (Definition of supplementary angles)

m∠VWU = 180° - m∠VWX

∴ m∠VWX = (m∠UVW + m∠WUV)

Substituting the values, gives;

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

4x = 36

x = 36/4 = 9

x = 9°.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

answer: i guess 5 units?

step-by-step explanation: