Find 𝑚 ∠ 𝐴 𝐵 𝐶 m∠ABC. In quadrilateral ABCD, two angles are given: 𝑚 ∠ 𝐵 𝐶 𝐷 = ( 5 𝑥 + 10 ) ∘ m∠BCD=(5x+10) ∘ 𝑚 ∠ 𝐷 𝐴 𝐵 = ( 3 𝑥 + 20 ) ∘ m∠DAB=(3x+20) ∘ Given that ABCD is a parallelogram, find 𝑚 ∠ 𝐴 𝐵 𝐶 m∠ABC.

In the parallelogram KLMN, find the measure of angle N.

Find the equations of the diagonals for parallelogram ABCD in slope-intercept form. Given the vertices: 𝐴 ( 1 , 5 ) , 𝐵 ( 7 , 9 ) , 𝐶 ( 3 , − 1 ) , 𝐷 ( − 3 , − 5 ) A(1,5),B(7,9),C(3,−1),D(−3,−5) Find the equations of the diagonals 𝐴

The vertices of PQRS are 𝑃 ( − 2 , 4 ) P(−2,4), 𝑄 ( 6 , 8 ) Q(6,8), 𝑅 ( 10 , − 2 ) R(10,−2), and 𝑆 ( 2 , − 6 ) S(2,−6). Determine the most precise classification of quadrilateral PQRS: parallelogram, rectangle, rhombus, or square.

Find 𝑚 ∠ 𝑋 𝑌 𝑍 m∠XYZ. In quadrilateral XYZW, two angles are given: 𝑚 ∠ 𝑊 𝑋 𝑌 = ( 7 𝑥 + 15 ) ∘ m∠WXY=(7x+15) ∘ 𝑚 ∠ 𝑌 𝑍 𝑊 = ( 5 𝑥 + 25 ) ∘ m∠YZW=(5x+25) ∘ Given that XYZW is a parallelogram, find 𝑚 ∠ 𝑋 𝑌 𝑍 m∠XYZ.

Find the measure of the indicated angle.

In the given parallelogram, find the measure of angle Y.

In the given parallelogram, find the measure of angle R.

What is the equation of the diagonals for parallelogram ABCD in slope-intercept form? Given vertices: A(1, 5), B(7, 9), C(3, -1), D(-3, -5)

Find the length of RP.

If 𝑃 𝑄 = 50 PQ=50 and 𝑅 𝑆 = 18 RS=18, find 𝑃 𝑅 PR. In quadrilateral PQRS, diagonals intersect at point M. Given that 𝑃 𝑄 = 50 PQ=50 and 𝑅 𝑆 = 18 RS=18, use the properties of diagonals of a parallelogram to find 𝑃 𝑅 PR.

The vertices of quadrilateral QRST are Q(2, 3), R(6, 7), S(10, -1), T(6, -5). Determine the most precise classification of QRST as a parallelogram, rectangle, rhombus, or square.

Can you prove the quadrilateral is a parallelogram using the given information? Explain.