1. In this figure find the marked unknown angles
Answers
we know that sum of all sides of triangle is 180°
we know that sum of all sides of triangle is 180°therefore,
we know that sum of all sides of triangle is 180°therefore, In ∆ABC
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACB
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC.
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC. x + angle DAC + angle ACD = 180°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC. x + angle DAC + angle ACD = 180° (sum of all sides of triangle)
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC. x + angle DAC + angle ACD = 180° (sum of all sides of triangle)x + 20° + 105° = 180°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC. x + angle DAC + angle ACD = 180° (sum of all sides of triangle)x + 20° + 105° = 180°x = 180° - 125°
we know that sum of all sides of triangle is 180°therefore, In ∆ABC angle ACB+45+60 = 180°angle ACB = 180°- 105°angle ACB = 75°Now, angle ACB and angle ACD form straight angle therefore, angle ACD = 180°- angle ACBangle ACD = 180°- 75°angle ACD = 105° In ∆ ADC. x + angle DAC + angle ACD = 180° (sum of all sides of triangle)x + 20° + 105° = 180°x = 180° - 125° x = 55°. Ans.