In parallelogram ABCD, BAD = 110^. E is a point on AD such that AE = AB. Calculate CED.

April 26, 2026Mathematics

ScanSolve AI Answer

April 26, 2026

Answer

110^\circ$.

Here's a step-by-step solution for the problem.

Question 3

3.1 Calculate $\angle CED$

Step 1: Identify properties of the parallelogram ABCD. In a parallelogram, opposite sides are equal and consecutive angles are supplementary. Given $\angle BAD = 110^\circ$ . Since E is on AD, $\angle BAE = \angle BAD = 110^\circ$ .

Step 2: Analyze $\triangle ABE$ . We are given that $AE = AB$ . Since $AB = 50$ mm, then $AE = 50$ mm. Because $AE = AB$ , $\triangle ABE$ is an isosceles triangle. The base angles of an isosceles triangle are equal

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

Qb) How many Spectators were there on Stands B and C all together? c) 458- d) what is double the numb…QThere were 1764 people at the soccer match on Sunday. a) Round this number off to the nearest 1000.…QIdentify these shapes. Write in your exercise book the name of the shape and the number of sides it…QThe quantities P, Q and R are such that P varies directly as Q and inversely as the square root of R…QIdentify the name, whether they have straight or curved sides, and if they are polygons, for the giv…

See all Mathematics questions →

Still have questions?

Quick Answer

Here's a step-by-step solution for the problem. Question 3 3.1 Calculate CED Step 1: Identify properties of the parallelogram ABCD.

Asked on April 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 26, 2026

Here's a step-by-step solution for the problem. Question 3 3.1 Calculate CED Step 1: Identify properties of the parallelogram ABCD. In a parallelogram, opposite sides are equal and consecutive angles are supplementary. Given BAD = 110^. Since E is on AD, BAE = BAD = 110^. Step 2: Analyze ABE. We are given that AE = AB. Since AB = 50 mm, then AE = 50 mm. Because AE = AB, ABE is an isosceles triangle. The base angles of an isosceles triangle are equal