∠axc is a straight angle and ∠axd measures 90°. which statement correctly describes ∠dxc?

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°.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.