pls write the answer which i have marked step by step not direct answer
Answers
I AM DOING Q.9. SO ANYONE WHO GIVES ANSWER AFTER ME THEN HE/SHE WILL GIVE THE ANSWER OF Q.8.
Answer:
SO , CONCEPT OF ANGLE SUM PROPERTY OF TRIANGLES AND LINEAR PAIR AND FOUR MAIN FUNDAMENTAL ARITHMETIC OPERATIONS.
Step-by-step explanation:
SO ,
ANGLE A + ANGLE ABD + ANGLE ADB = 180° (ANGLE SUM PROPERTY OF TRIANGLE )
- BY SUBSTITUTING THE VALUES OF ALL ANGLES GIVEN IN THE FIGURE , WE GET ,
x° + y° + 120° = 180°,
Now , x = 3y [GIVEN IN THE QUESTION ]
SO ,
3y + y = 180° - 120° [BY APPLICATION OF LINEAR EQUATION]
4y = 60°
y = 60° / 4
y = 15°
SO , x = 3y = 3 × 15 = 45° , y = 15°
NOW ,
ANGLE ADB + ANGLE BDC = 180° (LINEAR PAIR)
BY SUBSTITUTING ALL THE VALUES ,
120° + ANGLE BDC = 180°
180° - 120° = ANGLE BDC
60° = ANGLE BDC
SO ,
ANGLE BDC + ANGLE DBC + ANGLE DCB = 180° (BY APPLICATION OF LINEAR EQUATION)
BY SUBSTITUTING ALL THE VALUES ,
60° + z° + 80° = 180°
140° + z° = 180°
180° - 140° = z°
40° = z
THE VALUES OF z is 40° , x is 45° , y = 15°.