Question

please explain in detail pls only b​

Answer 1

$\boxed{\large{\red{Angle\:1 = 110°\:and\:X = 6}}}$

Angle 1 = (17x+8)°

Angle 2 = 66°

Angle 3 = 74°

Angle 4 = 110°

Find X and Angle 1.

$\huge{\red{S}}{\mathfrak{o}}{\mathfrak {\orange {l}}}{\mathfrak{\green{u}}}{\mathfrak {\pink {t}}}{\mathfrak{\blue{i}}}{\mathfrak{\purple {o}}}{\mathfrak {\gray {n}}}:$

Angle 1 = (17x+8)°

Angle 2 = 66°

Angle 3 = 74°

Angle 4 = 110°

X = ?

➡Sum of all angles = Angle 1 + Angle 2 + Angle 3 + Angle 4.

➡360 = (17x+8)+66+74+110

➡360 = (17x+8)+250

➡360-250=(17x+8)

➡110 = 17x+8

➡110-8=17x

➡102=17x

➡102÷17=x

➡x=6

∴ X = 6

▶We have found X. Now we need to find Angle 1.

▶Angle1 = (17x+8)°

➡ X = 6

➡ (17×6)+8

➡ 102+8

➡ 110

∴ Angle 1 = 110°