Question

find the measurement indicated in each parallelogram.
17)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) rectangle (2,2); \ ode at (-0.5,1) {s}; \ ode at (2.5,1) {t}; \ ode at (2.5,-0.5) {u}; \ ode at (-0.5,-0.5) {v}; \\draw (0,2) -- (0,0); \ ode at (0,2.5) {\\textbf{\\textsf{90°}}}; % right angle mark \ ode at (1,-1) {?}; \\end{tikzpicture}$$

18)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) -- (2,1) -- (4,0) -- (2,-1) -- cycle; \ ode at (2,1.5) {u}; \ ode at (4,0.5) {x}; \ ode at (2,-1.5) {w}; \ ode at (0,-0.5) {v}; \ ode at (3,1) {140°}; \ ode at (1,-1) {?}; \\end{tikzpicture}$$

19)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) -- (2,1) -- (4,0) -- (2,-1) -- cycle; \ ode at (2,1.5) {h}; \ ode at (4,0.5) {e}; \ ode at (2,-1.5) {f}; \ ode at (0,-0.5) {g}; \ ode at (3,1) {138°}; \ ode at (1,-1) {?}; \\end{tikzpicture}$$

20)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) -- (2,1) -- (4,0) -- (2,-1) -- cycle; \ ode at (2,1.5) {j}; \ ode at (4,0.5) {m}; \ ode at (2,-1.5) {l}; \ ode at (0,-0.5) {k}; \ ode at (3,1) {105°}; \ ode at (1,-1) {?}; \\end{tikzpicture}$$

21)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) rectangle (2,2); \ ode at (-0.5,1) {t}; \ ode at (2.5,1) {s}; \ ode at (2.5,-0.5) {r}; \ ode at (-0.5,-0.5) {q}; \ ode at (1,-1) {11.2}; \ ode at (-1,1) {?}; \\end{tikzpicture}$$

22)
\

$$\begin{tikzpicture}scale=0.5 \\draw (0,0) -- (2,1) -- (4,0) -- (2,-1) -- cycle; \ ode at (2,1.5) {l}; \ ode at (4,0.5) {k}; \ ode at (2,-1.5) {n}; \ ode at (0,-0.5) {m}; \ ode at (1,1) {17.8}; \ ode at (3,-1) {?}; \\end{tikzpicture}$$

© 2024 kuta software, llc. all rights reserved. made with infinite geometry.

Explanation:

17) Step1: Recognize right angle property

A rectangle (with a right angle) is a parallelogram; all angles are 90°.

18) Step1: Opposite angles are equal

In a parallelogram, opposite angles are congruent, so $\angle W = \angle X = 140^\circ$.

19) Step1: Opposite angles are equal

In a parallelogram, opposite angles are congruent, so $\angle F = \angle E = 138^\circ$.

20) Step1: Opposite angles are equal

In a parallelogram, opposite angles are congruent, so $\angle L = \angle M = 105^\circ$.

21) Step1: Opposite angles are equal

In a parallelogram, opposite angles are congruent, so $\angle Q = \angle S = 112^\circ$.

22) Step1: Opposite sides are equal

In a parallelogram, opposite sides are congruent, so $KN = LM = 17.8$.

Answer:

1. 90°
2. 140°
3. 138°
4. 105°
5. 112°
6. 17.8