Question

Quadrilateral EFGH is a rhombus and m∠DHG=s–22°. What is the value of s?
E
F
G
H
D
29°
s=
°

Answers

GPT-4o mini
To find the value of \( s \) for the rhombus EFGH given that \( m\angle DHG = s - 22^\circ \) and another angle \( m\angle DHG = 29^\circ \), we can set up the equation:

\[
s - 22^\circ = 29^\circ
\]

Now, to find \( s \), we solve for it:

\[
s = 29^\circ + 22^\circ
\]
\[
s = 51^\circ
\]

Thus, the value of \( s \) is:

\[
\boxed{51^\circ}
\]