nyzia72 nyzia72

06-01-2022
Mathematics

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6. Find the value of x. The diagram is not to scale.
S

(5x-30)°
(5x)^
T U
R

6 Find the value of x The diagram is not to scale S 5x30 5x T U R class=

Respuesta :

jimrgrant1 jimrgrant1

06-01-2022

Answer:

x = 21

Step-by-step explanation:

Since SR = ST then the triangle is isosceles with 2 base angles being congruent, so

∠ STR = 5x - 30

∠ STR and ∠ STU are adjacent angles on a straight line and sum to 180° , that is

5x - 30 + 5x = 180

10x - 30 = 180 ( add 30 to both sides )

10x = 210 ( divide both sides by 10 )

x = 21

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