Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Simplify both sides then isolate the variable
t=10
Answer:
Side MN = 3.5
Step-by-step explanation:
Side NO = 1.2011
Side OM = 3.3
Side MN = 3.51179
Angle ∠M = 20° = 0.34907 rad = π/9
Angle ∠N = 70° = 1.22173 rad = 7/18π
Angle ∠O = 90° = 1.5708 rad = π/2
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Collect like terms


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