abealsamuel13 abealsamuel13
  • 11-06-2021
  • Mathematics
contestada

Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree

PLEASE HELP ME

Suppose that QRS is isosceles with base q r Suppose also that m q equals 5x 14degrees and Mr equals 4x 2degreePLEASE HELP ME class=

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abidemiokin
abidemiokin abidemiokin
  • 18-06-2021

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

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