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Harrizon [31]
3 years ago
5

What type of angle is ∠CEB ? acute right obtuse straight

Mathematics
2 answers:
anygoal [31]3 years ago
7 0
BED and CEB are supplementary angles, meaning their sum is 180°. You already know BED is 77°, so you subtract 77° from 180° to find CEB.

180° - 77° = 103°

CEB = 103°

Because it is greater than 90°, it is obtuse.
Rudik [331]3 years ago
4 0
∠CEB and ∠AED are vertical angles, which means they must be equal to each other. Make them = x in an equation. The angles form a quadrilateral, so the sum of the interior angles must equal 360°.

77 + 77 + x + x = 360
Combine like terms.

154 + 2x = 360
Subtract 154 from both sides.

2x = 206
Divide both sides by 2.

x = 103

∠CEB is greater than 90°, so it must be an obtuse angle.
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