Question

In the following figure,calculate the unknown marked angles.
guyz pls help​

Answer 1

Answer:

20, 100 and 60 degrees

Step-by-step explanation:

Angle Sum Property

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20

Therefore ,

Angle Q = 20 degrees

Angle R = 100 degrees

Angle P =  60 degrees

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Answer 2

Question:

• In the following figure calculate the unknown marked angles

Answer:

• The measurement of the angles are 20 , 60 and 100 degrees respectively

Step-by-step explanation:

Given that:

• The measurement of Angle Q is x
• The measurement of Angle P is 3x
• The measurement of Angle R is 5x

To Find:

• The measure of the marked angles

Formula Used:

$\bigstar \; \;{\underline{\boxed{\bf{Sum \; of \; angles _{(in \; a \; traingle)} = 180 \;degrees }}}}$

Required Solution:

• According to the property of triangle

★ We know that ,

$\bigstar \; \;{\pink{\boxed{\bf{Sum \; of \; angles _{(in \; a \; traingle)} = 180 \;degrees }}}}$

★  According to the given data ,

$\longrightarrow \sf x + 3x + 5x = 180$

$\longrightarrow \sf 4x + 5x = 180$

$\longrightarrow \sf 9x = 180$

$\longrightarrow \sf x = \dfrac{180}{9}$

$\longrightarrow {\purple{\boxed{\frak{ x = 20 }}}\bigstar}$

★ Henceforth ,

$\nrightarrow \sf 1st \; angle \; measures's = 1( x ) = 20 degrees$

$\nrightarrow \sf 2nd \; angle \; measures's = 3( x ) = 60 degrees$

$\nrightarrow \sf 3rd\; angle \; measures's = 5( x ) = 100 degrees$

Therefore:

• The measurements of the angles are 20 , 60 , 100 degrees

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