Answer:
<CBE = 119°
Explanation:
Given:
m<EBF = 61°
Required:
m<CBE
SOLUTION:
Since <DBE is a right angle, <ABE is also a right angle, and is equal to 90°.
m<ABF + m<EBF = 90° (angle addition postulate)
m<ABF + 61° = 90° (Substitution)
m<ABF = 90 - 61 (subtracting 61 from both sides)
m<ABF = 29°
m<ABF = m<CBD (vertical angles are congruent)
m<CBD = 29°
m<DBE = 90° (right angle)
m<CBD + m<DBE = m<CBE (Angle Addition Postulate)
29° + 90° = m<CBE (substitution)
119° = m<CBE
