Answer:
The measure of angle m+n+p is equivalent to 205° (Fourth option)
Step-by-step explanation:
In a quadrilateral, the sum of the interior angles must be equal to 360°:
S=m+n+p+m<VSW+m<WST=360°
m<VSW=65°
Like SW is an altitude, m<WST=90°
Replacing the known values in the formula above:
m+n+p+65°+90°=360°
Adding like terms:
m+n+p+155°=360°
We want m+n+p, then subtracting 155° both sides of the equation:
m+n+p+155°-155°=360°-155°
m+n+p=205°
Answer:
4th Option is correct.
Step-by-step explanation:
Given: STUV ia a trapezoid that is ST is parallel to UV
SW is altitude that is m∠ SWV = 90°
m∠ VSW = 65°
To find: measure of m + n + p
Since, ST is parallel to UV.
⇒ n + p = 180° because Sum of Interior Angle on the same side of traversal is 180°
Now, In ΔSVW
∠SVW + ∠SWV + ∠WSV = 180° (Angle sum property of triangle)
m + 90° + 65° = 180°
m + 155 = 180
m = 180 - 155
m = 25°
Thus, m + n + p = 25 + 180 = 205°
Therefore, 4th Option is correct.
