17.2k views
5 votes
M∠3=

a) 44
b) 88
c) 136

M∠3= a) 44 b) 88 c) 136-example-1
User Zeedia
by
8.6k points

2 Answers

2 votes

\angle 4 = (1)/(2) (46 + 42)


\angle 4 = 44


\angle 1 = 180 - 44 = 136 \textdegree . [ Adjacent angles on a straight line add up to 180° ]



User Christopher Will
by
7.5k points
6 votes

Answer:


m\angle 3=136^(\circ)

Explanation:

We are given that

Measure of intercepted arc are


46^(\circ),42^(\circ)

We have to find the measure of angle 3.

We know that

Internal angle=half the sum of measures of its intercepted arc.

Using this property

Measure of angle 4=
(1)/(2)(46+42)=44^(\circ)

Measure of angle 4 +measure pf angle 3=180 degrees (linear pair)

Substitute the values then we get


44^(\circ)+m\angle 3=180^(\circ)


m\angle 3=180-44=136^(\circ)

Hence, the
m\angle 3=136^(\circ)

User Ariona Rian
by
8.1k points

No related questions found