Mathematics: If angle CED is 35 degrees and ADC is 50 degrees, what is the measure of angle DCE?

If angle CED is 35 degrees and ADC is 50 degrees,

Ответ:

sakugrey

23.01.2022

Mathematics

Explanation:

The diagram for this problem is shown below. We know some facts:

$\angle CED=35^{\circ} \\ \\ \angle ADC=50^{\circ}$

From the figure, $\angle ADE=180^{\circ}$ , so we can write this relationship:

$\angle ADC+\angle CDE=180^{\circ} \\ \\ \\ Isolating \ \angle CDE: \\ \\ \angle CDE=180^{\circ}-\angle ADC \\ \\ \\ Substituting \ angle ADC=50^{\circ} \\ \\ \angle CDE=180^{\circ}-50^{\circ} \\ \\ \angle CDE=130^{\circ}$

Since C, E and D form a triangle, then the internal angles of any triangle add up to 180 degrees, so:

$\angle CED + \angle EDC + \angle DCE=180^{\circ} \\ \\ \\ Substituting \ know \ values: \\ \\ 35^{\circ}+ 130^{\circ}+ \angle DCE=180^{\circ} \\ \\ \\ Isolating \ \angle DCE: \\ \\ \angle DCE=180^{\circ} -35^{\circ}-130^{\circ} \\ \\ \boxed{\angle DCE=15^{\circ}}$

If angle CED is 35 degrees and ADC is 50 degrees, what is the measure of angle DCE?

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Ответ:

joshuag9047

28.03.2021

Mathematics

190.88 cm ^3

Step-by-step explanation:

find the volume of cone

2^2=4 4 times pi 12.56

12.56 times 6= 75.36

75.36÷3= 25.12

find volume of cube

6×6×6= 216

216-25.12= 190.88 cm^3

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If angle CED is 35 degrees and ADC is 50 degrees, what is the measure of angle DCE?

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