Question

∠AXC is a straight angle and ∠AXD measures 90°. Which statement correctly describes ∠DXC?

Answer 1

Solution:

As given ∠AXC is a straight angle and ∠AXD measures 90°.

Measure of a straight angle =180°

∠AXD = 90°

∠AXD+∠DXC=180°[ ∴∠AXC is a straight angle]

→90° +∠DXC=180°

→∠DXC=180°-90°

→ ∠DXC=90°

∠DXC  measures right angle i.e having measure 90°.