Answer:
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
Step-by-step explanation:
`From the given picture,
Angle SOP and angle SOR are the linear pairs.
Therefore, sum of these angles will be equal to to 180°.
m∠SOP + m∠SOR = 180° -----(1)
Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°
[There is a misprint in this question. There should be x in place of y in the measures of the angles]
By substituting these values in the equation (1),
(7x - 2) + (5x + 14) = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
180-110=70
180-(70+59)=180-129=51
Z=51 im p sure
Answer:
85 degrees
Step-by-step explanation:
the sum of supplementary angles=180
155+ angle in the triangle=180
angle=180-155
angle=25 degrees
the sum of angles of triangle=180
25+60+x=180
85+x(inside triangle)=180
x=180-85
x=95
angle with (?):
the sum of supplementary angles=180
95+(?)=180
(?)=180-95
(?)=85 (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
Answer:
Given:
.
Assuming that
,
while
.
Step-by-step explanation:
By the Pythagorean identity
.
Assuming that
,
.
Rearrange the Pythagorean identity to find an expression for
.
.
Given that
:
.
Hence,
would be:
.