Question

Do as directed
1. If the measure of two angles of a triangle is 47 and 52 respectively then find
the measure of the third angle.
2. Find the value of the unknown x in the following figure
Р
M
30
of two sides is given by​

Answer 1

Answer:

1. sum of all angles in a triangle are =180°

let the other angle be x

therefore,47°+52°+x=180°

99°+x=180°

x=180°-99

x=81°

2. in figure angleP=90°

angleM=30°

and given T=x°

therefore,90°+30°+x°=180°

120°+x°=180°

x=180°-120°

x=60°

Hope helps you..

Answer 2

Answer:

1. 81°

2. 60°

Step-by-step explanation:

These questions can be solved by the use of A.S.P.(Angle sum property)

A.S.P. of triangle is 180°

It means that total sum of all three angles of a triangle is 180°.

1. Given- angle 1=47°

angle 2= 52°

let angle 3= x

so, 47+52+x=180°(A.S.P.)

99+x=180

x=180-99

x=81

third angle=x= 81°

2. From the figure,

angle P=90°

angle M=30°

angle T=x

P+M+T=180°

90+30+x=180

120+x=180

x=180-120

x=60°

angle T=x=60°