Question

12. Find x.
a.90⁰
b.45⁰
c.75⁰
d.25⁰

Answer 1

75 ᴅᴇɢʀᴇᴇꜱ ɢɢᴅᴊᴇɪᴋᴡᴏᴡᴏʟqᴏᴡʜɢɢᴅᴠᴅ

Answer 2

Answer:

Option C: 75°

In quadrilateral WXYZ,

∠W = 90°

(since, the exterior is 90°, then 180° - 90° = 90°)

∠X = ?

∠Y = 60°

(since, the exterior is 120°, then 180° - 120° = 60°)

∠Z = 105°

(since, the exterior is 75°, then 180° - 75° = 105°)

We know that the sum of angles in a quadrilateral is 360°

So, ∠W + ∠X + ∠Y + ∠Z = 360°

Substituting the values,

90° + X + 60° + 105° = 360°

255° + X = 360°

X = 360° - 255°

X = 105°

Here, we have to find the exterior of ∠X

So, 180° - ∠X

= 180° - 105°

∠X = 75°