Question

4 multiple choice 1 point what is the measure of ∠cbf? diagram with points c, b, a on a horizontal line; angles 52° (∠cbd), 44° (∠abf? no, ∠abf? wait, diagram: c---b---a horizontal. from b, down to e, left-down to d (∠cbd=52°), right-down to f (∠ebf=46°? wait, diagram shows ∠abe? no, text: 52° between cb and bd, 44° between ab and bf? wait, ocr: 52° near cb and bd, 44° near ab and... maybe ab and be? no, the diagram: c---b---a (horizontal line). from b, vertical down to e, left-down to d (∠cbd=52°), right-down to f (∠ebf=46°? wait, the angles: 52° (cb to bd), 44° (ab to... maybe ab to bf? wait, the question is ∠cbf. the options are 136°, 128°, 90°, 98°. then the multiple choice options: 136°, 128°, 90°, 98°.

Explanation:

Step1: Identify straight line sum

Angles on a straight line sum to $180^\circ$.

Step2: Calculate $\angle CBF$

Subtract $\angle ABF$ from $180^\circ$.
$\angle CBF = 180^\circ - 44^\circ$

Answer:

136°