dakodahepps
24.09.2019 •
Mathematics
∠cat and ∠tad are a linear pair, if m∠cat = 2x-5 and m∠tad = 5x+10, what is the measure of ∠cat and ∠tad? draw a picture labelling the given information and show your work
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Ответ:
The answer to your question is: m∠CAT = 45; m∠TAD = 135
Step-by-step explanation:
Data
∠CAT and ∠TAD are a linear pair
m∠CAT = 2x-5
m∠TAD = 5x+10
m∠CAT = ?
m∠TAD = ?
Process
The sum of linear pairs angles equals 180°, so
m∠CAT + m ∠TAD = 180°
(2x - 5) + (5x + 10) = 180°
2x - 5 + 5x + 10 = 180
Solve for x 7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
m∠CAT = 2(25) - 5 = 50 -5 = 45
m∠TAD = 5(25) + 10 = 125 + 10 = 135
Ответ:
Step-by-step explanation:
We are given that angle CAT and angle TAD are a linear pair.
We have to find the measure of angle CAT and angle TAD.
(linear pair sum =180 degrees)
Substitute the values then we get
Ответ:
100 x 100 is 10000