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2 years ago

Find the measure of unknown angle

Mathematics

2 answers:

lara [203]2 years ago

8 0

Answer:

x = 44°, y = 34°, z = 102°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent , then

∠ z = 102°

Consecutive angles are supplementary , then

x + 34° + 102° = 180°

x + 136° = 180° ( subtract 136° from both sides )

x = 44°

∠ y = 34° ( alternate angle

Lemur [1.5K]2 years ago

3 0

Answer:

Step-by-step explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

y = 180 - 146

y = 34 degree

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Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determin

LenKa [72]

Answer:

The equation is:

$409 = T - 223$

And the solution is:

$T = 632$

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

$K = 409$

Also, Kiran scored 223 less than Tyler.

This is represented as:

$K = T - 223$

Substitute 409 for K

$409 = T - 223$

Make T the subject

$T = 409 +223$

$T = 632$

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