Question

angle a, angle e, and angle b form a straight angle. what is the measure of angle b?
write an equation you could use to represent the relationship between angles a, e,
and b.
180 90 + + = a -
e b

Explanation:

Step1: Recall the property of a straight angle

A straight angle measures \(180^{\circ}\). So, if angle \(a\), angle \(e\), and angle \(b\) form a straight angle, the sum of their measures is \(180^{\circ}\).
The equation representing the relationship is \(a + e+ b=180\).

Step2: Substitute the values of \(a\) and \(e\) into the equation

Given \(a = 35^{\circ}\) and \(e = 35^{\circ}\). Substitute these values into the equation \(a + e+ b=180\):
\(35+35 + b=180\).

Step3: Simplify the left - hand side of the equation

\(35 + 35=70\), so the equation becomes \(70 + b=180\).

Step4: Solve for \(b\)

Subtract \(70\) from both sides of the equation: \(b=180 - 70\).
\(b = 110^{\circ}\).

Answer:

The equation is \(a + e+ b = 180\) and the measure of angle \(b\) is \(110^{\circ}\).