two consecutive angles of a parallelogram have measure (x+17) and (4x

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barasalshyra @barasalshyra

October 2022 1 3 Report

two consecutive angles of a parallelogram have measure (x+17) and (4x - 7). what is the measure of the larger angle?

Answers & Comments

BinibiningDel

Verified answer

Geometry

Two consecutive angles of a parallelogram have measure (x+17) and (4x - 7). What is the measure of the larger angle?

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Facts:

Two consecutive angles of a parallelogram are supplementary.
Supplementary angles measures 180°.

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Solve for x.

$\tt \Large (x + 17) + (4x - 7) = 180$

$\tt \Large x + 17 + 4x - 7 = 180$

$\tt \Large x + 4x + 17 - 7 = 180$

$\tt \Large 5x + 10 = 180$

$\tt \Large 5x = 180 - 10$

$\tt \Large 5x = 170$

$\tt \Large 5x \div 5 = 170 \div 5$

$\tt \Large \blue{x = 34}$

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Solve for (x + 17)°

$\tt \Large (x + 17)\degree$

$\tt \Large (34 + 17)\degree$

$\tt \Large \purple{\bold{51\degree}}$ (smaller angle)

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Solve for (4x - 7)°

$\tt \Large (4x - 7)\degree$

$\tt \Large (4(34) - 7)\degree$

$\tt \Large (136 - 7)\degree$

$\tt \Large \purple{\bold{129\degree}}$ (larger angle)

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Final Answer:

The larger angle measures $\tt \Large \purple{\bold{129\degree}}$ .

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#CarryOnLearning

barasalshyra wow!thank you po

BinibiningDel you're welcome

reymond26 eto po alam niyo? Problem: Two consecutive angles of a parallelogram have measure (8x + 11) and (3x+4). What is the measure of the measure of the

larger angle?

Write the (a) given:

(b) Solve for: (unknown/ missing) (c) Equation:

(What equation you will used in solving the problem?)

(d) Solution:

(e) Answer to the problem:

Questions

Answers & Comments

Verified answer

Geometry

Facts:

Solve for x.

Solve for (x + 17)°

Solve for (4x - 7)°

Final Answer:

Add an Answer

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