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ludmilkaskok [199]
4 years ago
5

Find the complement of the angle shown. Find the supplement of the angle shown

Mathematics
2 answers:
marta [7]4 years ago
5 0
The complement is equal to 90 so the complement to 70 is 20. the supplement adds to 180 so the supplement to 70 is 110. if you are talking about x... it’s an isosceles triangle so the base angles are the same and the angles in a triangle add to 180 so 180-(70+70)=40 so x=40 so the complements is 50 and the supplement is 150
evablogger [386]4 years ago
5 0

Step-by-step explanation:

By angle sum property ,

x = 40⁰

Complement = 90 - 40 = 50⁰

Supplement = 180 - 40 = 140⁰

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3 years ago
Given: AB || DE , AD bisects BE.<br> Prove: ABC = DEC using the ASA postulate.
Ket [755]

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

\triangle ABC and \triangle DEC.

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.

i.e. AB || ED and \angle B and \angle E are alternate angles \Rightarrow \angle B = \angle E.

2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.

\Rightarrow \angle ACB = \angle DCE

Also, it is given that <em>AD bisects BE</em>.

i.e. EC = CB

1. \angle B = \angle E

2. EC = CB

3. \angle ACB = \angle DCE

So, we can in see that in \triangle ABC and \triangle DEC, two angles are equal and side between them is also equal to each other.

Hence, proved that \triangle ABC \cong \triangle DEC.

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