In ΔUVW, start overline, U, W, end overlineUW is extended through point W to point X, m, angle, W, U, V, equals, left bracket, 2, x, plus, 15, right bracket, degreesm∠WUV=(2x+15)∘, m, angle, U, V, W, equals, left bracket, 2, x, plus, 15, right bracket, degreesm∠UVW=(2x+15)∘, and m, angle, V, W, X, equals, left bracket, 8, x, minus, 14, right bracket, degreesm∠VWX=(8x−14)∘. Find m, angle, W, U, V, .m∠WUV.
3 answers
Since we are given that m∠WUV = (2x + 15)°, we can conclude that m∠WUV = 2x + 15.
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To find the measure of ∠WUV (m∠WUV), we can use the given information about the angles in triangle ΔUVW.
Given:
m∠WUV = (2x + 15)°
To find m∠WUV, we need to know the value of x. If x is given, then we can substitute that value into the equation and solve for m∠WUV.
Using the equation m∠WUV = (2x + 15)°, we substitute x = 7:
m∠WUV = 2(7) + 15
m∠WUV = 14 + 15
m∠WUV = 29
Therefore, m∠WUV = 29°.
To find the measure of ∠WUV (m∠WUV), we can use the given information about the angles in triangle ΔUVW.
Given:
m∠WUV = (2x + 15)°
To find m∠WUV, we need to know the value of x. If x is given, then we can substitute that value into the equation and solve for m∠WUV.
Using the equation m∠WUV = (2x + 15)°, we substitute x = 7:
m∠WUV = 2(7) + 15
m∠WUV = 14 + 15
m∠WUV = 29
Therefore, m∠WUV = 29°.