osahondaniel30
osahondaniel30 osahondaniel30
  • 02-10-2021
  • Mathematics
contestada

QS is the bisector of PQR and RS is the bisector of <PRQ. If <P = 76°, find the size of QSR.​

QS is the bisector of PQR and RS is the bisector of ltPRQ If ltP 76 find the size of QSR class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2021

Answer:

∠ QSR = 128°

Step-by-step explanation:

∠ SRQ = ∠ PRS = 26° ( RS is angle bisector ) , then

∠ PRQ = 2 × 26° = 52°

∠ PQR = 180° - (52 + 76)° ← angle sum of Δ PQR

∠ PQR = 180° - 128° = 52°

∠ SQR = ∠ SQP = 26° ( QS is angle bisector )

Then

∠ QSR = 180° - (26 + 26)° = 180° - 52° = 128°

Answer Link

Otras preguntas

10. Is it possible for the cylinder to have a cross section in the shape of a rectangle? a) Yes b) No. Explain.
A tool set is set on price for 424.15 dollars and original price was 499.00 What is the percent of the original sales price is the sale price
How did the distance between England and America influence colonists' ideas about leadership?
Find examples of alliteration and consonance in each poem in the collection. Avarice, the good life, money
Why do you think that millions of cattle grazed freely across Texas following the Civil War?
How was ancient Greece's economy similar to the United States economy today
fill in the blanks 1-12​
Select all of the ways collection areas use to gain water. precipitation falls direction into the collection area runoff from precipitation water evaporates fro
Use the equation: C=0.5n to determine the cost for 14 hamburgers in dollars
I'm struggling with this question