Question

7) No quadrilátero a seguir, o valor do ângulo D é:

a) 16°
b) 32º
c) 60°
d) 75°
e) 96°

Answer 1

$\displaystyle (5x-2^o)+(3x)+(2x+10^o)+(x)=360^o\\5x-2^o+3x+2x+10^o+x=360^o\\11x+8^o=360^o\\11x=360^o-8^o\\11x=352^o\\\\x= \frac{352^o}{11}\\\\x=32^o\\\\\\\hat{D}=3x\\\hat{D}=3.32^o\\\hat{D}=96^o$

Alternativa E.