Question

Fie ABCD patrulater convex unde <A=<C (congruent)
<B=<D (congruent)
3•<A=2•<B (egale)
Afla m(<A)
m(<B)
m(<C)
m(<D)

Dau coroana!​

Answer 1

Răspuns:

<A=72

<B=108

<C=72

<D=108

Explicație pas cu pas:

3<A=2<B=> B=3<A/2

<A=<C si <B=<D

<A+<B+<C+<D=360=> 2<A+2*3<A/2=360 =>2<A+2<A=360 => 5<A=360 => <A=72

<B=3*72/2=108

Deci:

<A=72

<B=108

<C=72

<D=108