Rays PQ and PS are perpendicular to each other. What is the measure of LRPS plzzzzz
1 answer:
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
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Answer:
65.46 units
Step-by-step explanation:
Given the information:
- The vertex angle of an isosceles triangle measures 26°
=> the leg angle is:
= (180° - 26° )/2
= 77°
- The base is 30 units
Let x is the length of the leg side (x>0)
We use cosine law to find x, we have:
=
Because the isosceles has two equal leg sides
<=> = 2
- 1.79
<=> 0.21 =
<=>
<=> x = 65.46 units
Hope it will find you well.