Question

find the unknown angle in the following cases.​

Answer 1

Answer:

50 is right answer

180=50+y+x

y=80 (straight angle)

180=50+80+x

180-130=x

x=50

Answer 2

$\bigstar\sf\blue{GIVEN}\bigstar$

• $\angle{ABC=50^{\circ}}$

• $\angle{DAE=80^{\circ}}$

$\huge\bigstar\sf\red{PROPERTIES\:USED}\bigstar$

• Vertically opposite angle.

• Angle Sum property.

Now,

$\implies\sf\blue{\angle{DAE}=\angle{BAC}=80^{\circ}(Vertically\:opposite\: angle)}$

Hence, Y=80

Now,

$\implies\sf\pink{\angle{A}+\angle{B}+\angle{x}=180^{\circ}(Angle\:Sum\: propert)}$

$\implies\sf\blue{80+50+x=180^{\circ}}$

[tex]\implies\sf\red{x=50}

Hence, X=50

EXTRA INFORMATION:-

• Sum of two interior angle is equal to one exterior angle.

• Sum of three angle is equal to 180

• In equilateral triangle three sides are equal