Question

Here are 3 intersecting lines. Angles a and c are complementary. What is the measure of angle d?
What is the measure of angle d?
a = 32ºcºbºdº
Angle d measures
degrees.

Answers

GPT-4o mini
Since angles \( a \) and \( c \) are complementary, their measures add up to \( 90^\circ \). Given that \( a = 32^\circ \), we can find angle \( c \) as follows:

\[
c = 90^\circ - a = 90^\circ - 32^\circ = 58^\circ
\]

Now let's look at the arrangement of the angles. At the intersection of the lines, we have angles \( a \), \( b \), \( c \), and \( d \). Since angles \( c \) and \( d \) are vertical angles, they are equal:

\[
d = c = 58^\circ
\]

Thus, the measure of angle \( d \) is:

\[
\boxed{58}
\] degrees.

Related Questions