candybrandy10 candybrandy10
  • 20-02-2021
  • Mathematics
contestada

5
.
In rhombus QRST diagonals RT and QS are drawn. If m then which of the following is the measure of a 90
b 76
C 38
d 48


geometry help !

Respuesta :

akposevictor
akposevictor akposevictor
  • 25-02-2021

Complete Question: In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

*the diagram of the rhombus is in the attachment below

Answer:

m<SRT = 38°

Step-by-step explanation:

A rhombus has 4 equal sides. Also, diagonals of a rhombus bisect each other Therefore:

∆RST form the rhombus given is an isosceles triangle with two equal lengths, ST and SR, and two equal base angles, <T and <R.

Given that <TSR = 104°, thus,

m<SRT = (180 - 104)/2 = 76/2

m<SRT = 38°

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