Question

question 5 not yet answered marked out of 2.00 flag question which statement about the angles in this diagram is false? select one: a. <c = 36° b. <a = 36° c. <d = 36° d. <g = 36°

Explanation:

Step1: Identify supplementary angles

The angle of \(144^{\circ}\) and \(\angle e\) are supplementary. So \(\angle e=180 - 144=36^{\circ}\).

Step2: Use properties of parallel - lines

Since the lines are parallel, \(\angle a=\angle e = 36^{\circ}\) (corresponding angles).

Step3: Analyze vertical - angles

\(\angle c\) and \(\angle e\) are vertical angles, so \(\angle c=\angle e = 36^{\circ}\).

Step4: Analyze other angles

\(\angle d\) and the \(144^{\circ}\) angle are corresponding angles, so \(\angle d = 144^{\circ}
eq36^{\circ}\). \(\angle g\) and \(\angle c\) are corresponding angles, so \(\angle g=\angle c = 36^{\circ}\).

Answer:

C. \(\angle d = 36^{\circ}\)