Question

two angles <1 and <2, in a diagram r supplementary. If supplementary. If m<1 = 77 wut equation can u write solve 4 m<2? Let m<2 =x

x + 77 = 180

x = 77

x = 90 -77

x + 77 = 90

Answer 1

Given that angles \( \angle 1 \) and \( \angle 2 \) are supplementary, you can express this relationship mathematically. If \( m\angle 1 = 77^\circ \), you can set up the following equation for \( m\angle 2 \) (let's denote \( m\angle 2 \) as \( x \)):

\[
x + 77 = 180
\]

This equation expresses that the sum of the measures of the two angles equals \( 180^\circ \), since supplementary angles add up to \( 180^\circ \).

Now, you can solve for \( x \):

1. Subtract \( 77 \) from both sides:

\[
x = 180 - 77
\]

2. Calculate:

\[
x = 103
\]

So, \( m\angle 2 = 103^\circ \).

The other equations you mentioned, such as \( x = 90 - 77 \) or \( x + 77 = 90 \), are not relevant to solving for \( m\angle 2 \) in this case since they do not accurately represent the relationship between supplementary angles. The correct equation is:

\[
x + 77 = 180
\]

And the solution yields \( m\angle 2 = 103^\circ \).