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

Which words are used as nouns in this sentence? Choose all answers that are correct. Lobsters can pinch the skin with their claws. a. pinch b. their c. skin d
How does the width of a rectangle change if the length increases but the area remains 300square feet
Which is the most accurate way to estimate 52% of 45
Unit rate for 240 kilometers and 2.5 hours show your work
In a play, the rising action consists of the events that lead up to the a. last line in the scene b. climax c. external conflict d. internal conflict
Henry is four times older than James. Next year, Henry will be three times older than James will be. How old are Henry and James now? a. James is 3 years old;
9.35 as a fraction in simpliest form
True or false. Milton was born into a prosperous Puritan family
Being rejected by a peer group can negatively influence one's self-esteem.
Hair and nails are derived from cells of the A. skin. B. bone. C. blood. D. fat tissue.