Question

1. ∠ace is a straight angle. write and solve an equation to find the unknown angle measure. the measure of ∠bcd is ____.

Explanation:

Step1: Recall straight - angle property

A straight angle measures 180°. So, the sum of the three angles at point C (51°, \(x\)°, and 43°) that make up ∠ACE (a straight angle) is 180°. The equation is \(51 + x+43=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(51 + 43+x=180\), which gives \(94 + x=180\).

Step3: Solve for \(x\)

Subtract 94 from both sides of the equation: \(x=180 - 94\). So, \(x = 86\).

Answer:

86°