Question

In triangle Pqr measure angle P +measure angle Q +measure angle R=_​

Answer 1

Answer:

180°is the total measure of the angle p+q+r

Answer 2

Step-by-step explanation:

the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°"

From the problem we can write:

Q

=

5

R

We can also write from Geometry, the sum of the three angles is 180 degrees, or:

P

+

Q

+

R

=

180

We can substitute

36

for

P

and we can substitute

5

R

for

Q

and solve for

R

:

36

+

5

R

+

R

=

180

36

+

5

R

+

1

R

=

180

36

+

(

5

+

1

)

R

=

180

36

+

6

R

=

180

−

36

+

36

+

6

R

=

−

36

+

180

0

+

6

R

=

144

6

R

=

144

6

R

6

=

144

6

6

R

6

=

24

R

=

24

Substituting

24

for

R

in the the equation for the relationship and calculating

Q

gives:

Q

=

5

R

becomes:

Q

=

5

⋅

24

Q

=

120

Angle

Q

is 120 degrees and angle

R

is 24 degrees.