Question

l parallel m transversal n intesect l and m if angle 4 :angle 5 =11:7 find all angle

Answer 1

Answer on Question #48488 – Math - Geometry

I parallel m transversal n intesect l and m if angle 4 :angle 5 =11:7 find all angle

Solution.

$$\begin{array}{l} \angle 4 + \angle 5 = 180{}^{\circ}, \angle 4 : \angle 5 = \frac{11}{7} \rightarrow \angle 4 = \frac{11}{11 + 7} (\angle 4 + \angle 5) = 180{}^{\circ} * \frac{11}{18} = \\ = 110{}^{\circ}, \\ \angle 5 = 180{}^{\circ} - 110{}^{\circ} = 70{}^{\circ}, \\ \angle 1 = \angle 5 = 70{}^{\circ}, \\ \angle 2 = \angle 4 = 110{}^{\circ}, \\ \angle 3 = \angle 1 = 70{}^{\circ}, \\ \angle 6 = \angle 4 = 110{}^{\circ}, \\ \angle 7 = \angle 5 = 70{}^{\circ}, \angle 8 = \angle 4 = 110{}^{\circ}. \end{array}$$

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