Question

Help please. Us the diagram to find the measure of each arc. Give an 80 and MUR diameters measurement of angle BRT was 80° and measurement of angle ARM equals 60°.

Answer 1

(I) BT = 80°

(II) AUB = 240°

(III) MB = 60°

Explanation:

Given:

∠ARM = 60°

∠BRT = 80°

(i) BT = ?

According to the figure, BT = 80°

(ii) AUB = ?

∠MRB = 180 - ( 80 + 60 )

∠MRB = 180 - 140

∠MRB = 60°

AUB = 360 - ( 60 + 60 )

AUB = 360 - 120

AUB = 240°

(III) MB = ?

MB = 180 - ( AM + BT )

MB = 180 - ( 80 + 60 )

MB = 180 - 140

MB = 60°