Question

If abcd is a issosiles trapezium angle a +c =



explain with solution pls and also steps
cause brainliest answer will bet 100​

Answer 1

We will construct a figure of trapezium \[ABCD\] and as in an isosceles trapezium, the base angles are always equal. ... Hence, \[\angle C\] and \[\angle D\] are the base angles and base angles are always equal to each other. Thus, we get that \[\angle C = \angle D\].

Answer 2

Answer:

180°

Step-by-step explanation:

Question

Answers

Related Questions

If ABCD

is an isosceles trapezium, ∠C

is equal to ___________.

A) ∠B

B) ∠A

C) ∠D

D) 90∘

Answer

We need to find the ∠C

. So, we will check the properties of an isosceles trapezium. We will construct a figure of trapezium ABCD

and as in an isosceles trapezium, the base angles are always equal. So, we will construct the figure and name the angles accordingly and then check what is the other base angle with ∠C

. Hence, it depends on how we name an isosceles trapezium. Thus, by this, we can find that ∠C

will be equal to.

Complete step by step solution: We will first construct an isosceles trapezium and name it as ABCD

.

As we know that an isosceles trapezium has a pair of opposite sides that are congruent.

Therefore, AD

is congruent to BC

.

Since we need to find the value of ∠C

, and as both pairs of opposite angles are supplementary that is they sum to 180∘

.

Thus, ∠C+∠D=180 ans.

Also, consecutive angles along both bases are congruent.

Hence, ∠C

and ∠D

are the base angles and base angles are always equal to each other.

Thus, we get that ∠C=∠D

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