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Given that measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b . Statement Reason 1. a∥b Given 2. m∠6= 1 8 m∠______ Given 3. m∠6+m∠4 =________ __________________________ 4. m∠6+8m∠_______ = 180° Substitution 6. m∠6 =____, m∠4=_____ Algebra

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indrawboy

∠4=160°,∠6 = 20°

Further explanation

There are two angles that can form:

  • Supplementary Angles: if both angles are added = 180 °
  • Complementary Angles: if both angles are added = 90°

From picture (attached) : ∠6 and ∠4 are Supplementary Angles

Given :

[tex]\angle 6=\frac{1}{8}\angle 4\\\\Let~x=\angle4,then\\\\=x+\frac{1}{8}x=180^o\\\\=8x+x=1440^o\\\\=x= 160^o\\\\so,\angle 4=160^o,\angle 6=20^o[/tex]

Learn more

copying an angle

https://brainly.com/question/11473207

Keywords: angle, Supplementary Angles

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aryaguptabg

Answer:

m∠4=160°,m∠6 = 20°

Step-by-step explanation:

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