bellamg06
bellamg06 bellamg06
  • 20-05-2020
  • Mathematics
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In the following diagram, HI is parallel to JK. What is the measure of x?

In the following diagram HI is parallel to JK What is the measure of x class=

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judygachanja
judygachanja judygachanja
  • 20-05-2020

Answer:

60

Step-by-step explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

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Hi1315
Hi1315 Hi1315
  • 20-05-2020

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

Lets take LAH angle as 'y'

[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]

[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]

[tex]x = 60 \: \: degrees[/tex]

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