Given: bd is a diameter m 1 = 100° m bc= 30° m 4 = 100 150 330

150

Step-by-step explanation:

bc is along a straight line with section 4 straight lines are 180° if bc is 30° then 180°-30°=150°

The measure of ∠4 is 150°

Step-by-step explanation:

Given the figure in which BD is the diameter of circle and

m∠1=100°

m(arc BC)=∠3=30°

we have to find the measure of ∠4.

As BD is a straight line as BD is diameter therefore

∠4 and ∠3 forms a linear pair

⇒ ∠4 and ∠3 are supplementary i.e these angles adds up to 180°

∠4 + ∠3 = 180°

∠4+30°=180°

∠4=180°-30°=150°

Hence, the measure of ∠4 is 150°

y=mx+