HELP ASAP THIS IS FOR AN EXAM THAT NEEDS TO BE DONE NOW!
1 answer:
Diagonals of a parallelogram bisects the parallelogram into congruent
triangles.
The measure of ∠SRV is<u> 48°</u>
Reasons:
The given parameters are;
m∠TUV = 78°
m∠TVU = 54°
The drawing of the quadrilateral RSTU is attached.
From the figure, we have;
m∠TUV = m∠SUT by reflexive property
m∠SUT = 78°
Diagonal SU is a common transversal of the parallel sides TU and RS
Therefore;
∠SUT ≅ ∠RSU by alternate interior angles theorem
Therefore;
m∠SUT = m∠RSU by definition of congruency
m∠RSU = 78°
∠TVU ≅ ∠SVR by vertically opposite angles theorem
m∠TVU = m∠SVR by definition of congruency
m∠SVR = 54°
m∠RSU + m∠SVR + m∠SRV = 180° by angle sum property of a triangle
m∠SRV = 180° - (m∠RSU + m∠SVR)
m∠SRV = 180° - (78° + 54°) = 48°
<u>m∠SRV = 48°</u>
Learn more here:
You might be interested in